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Finding the Fourth Proportional to 142,019,985.60, 213,029,978.40 and 113,322,171.60

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Solution

The fourth proportional to 142,019,985.60, 213,029,978.40 and 113,322,171.60 is: 169,983,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,019,985.60 : 213,029,978.40 = 113,322,171.60 : x
  2. Step 2: Convert to fraction form
    142,019,985.60/213,029,978.40 = 113,322,171.60/x
  3. Step 3: Cross multiply
    142,019,985.60x = 213,029,978.40 × 113,322,171.60
  4. Step 4: Simplify right side
    142,019,985.60x = 24,141,019,768,189,092
  5. Step 5: Solve for x
    x = 24,141,019,768,189,092/142,019,985.60
  6. Step 6: Final answer
    x = 169,983,257.40

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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.