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Finding the Fourth Proportional to 142,343.78, 213,443.11 and 47,539.85

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Solution

The fourth proportional to 142,343.78, 213,443.11 and 47,539.85 is: 71,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,343.78 : 213,443.11 = 47,539.85 : x
  2. Step 2: Convert to fraction form
    142,343.78/213,443.11 = 47,539.85/x
  3. Step 3: Cross multiply
    142,343.78x = 213,443.11 × 47,539.85
  4. Step 4: Simplify right side
    142,343.78x = 10,147,053,847.69
  5. Step 5: Solve for x
    x = 10,147,053,847.69/142,343.78
  6. Step 6: Final answer
    x = 71,285.55

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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.