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Finding the Fourth Proportional to 42,432, 63,677.22 and 14,730

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Solution

The fourth proportional to 42,432, 63,677.22 and 14,730 is: 22,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,432 : 63,677.22 = 14,730 : x
  2. Step 2: Convert to fraction form
    42,432/63,677.22 = 14,730/x
  3. Step 3: Cross multiply
    42,432x = 63,677.22 × 14,730
  4. Step 4: Simplify right side
    42,432x = 937,965,450.60
  5. Step 5: Solve for x
    x = 937,965,450.60/42,432
  6. Step 6: Final answer
    x = 22,105.14

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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.