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Finding the Fourth Proportional to 42,265, 63,387.22 and 14,177.77

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Solution

The fourth proportional to 42,265, 63,387.22 and 14,177.77 is: 21,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265 : 63,387.22 = 14,177.77 : x
  2. Step 2: Convert to fraction form
    42,265/63,387.22 = 14,177.77/x
  3. Step 3: Cross multiply
    42,265x = 63,387.22 × 14,177.77
  4. Step 4: Simplify right side
    42,265x = 898,689,426.10
  5. Step 5: Solve for x
    x = 898,689,426.10/42,265
  6. Step 6: Final answer
    x = 21,263.21

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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.