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Finding the Fourth Proportional to 42,447.68, 63,359.92 and 39,320

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Solution

The fourth proportional to 42,447.68, 63,359.92 and 39,320 is: 58,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.68 : 63,359.92 = 39,320 : x
  2. Step 2: Convert to fraction form
    42,447.68/63,359.92 = 39,320/x
  3. Step 3: Cross multiply
    42,447.68x = 63,359.92 × 39,320
  4. Step 4: Simplify right side
    42,447.68x = 2,491,312,054.40
  5. Step 5: Solve for x
    x = 2,491,312,054.40/42,447.68
  6. Step 6: Final answer
    x = 58,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.