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Finding the Fourth Proportional to 142,019,978.20, 213,029,967.30 and 103,756,226.20

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Solution

The fourth proportional to 142,019,978.20, 213,029,967.30 and 103,756,226.20 is: 155,634,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,019,978.20 : 213,029,967.30 = 103,756,226.20 : x
  2. Step 2: Convert to fraction form
    142,019,978.20/213,029,967.30 = 103,756,226.20/x
  3. Step 3: Cross multiply
    142,019,978.20x = 213,029,967.30 × 103,756,226.20
  4. Step 4: Simplify right side
    142,019,978.20x = 22,103,185,474,557,404
  5. Step 5: Solve for x
    x = 22,103,185,474,557,404/142,019,978.20
  6. Step 6: Final answer
    x = 155,634,339.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.