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Finding the Fourth Proportional to 42,538.71, 63,811.02 and 14,447.31

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Solution

The fourth proportional to 42,538.71, 63,811.02 and 14,447.31 is: 21,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.71 : 63,811.02 = 14,447.31 : x
  2. Step 2: Convert to fraction form
    42,538.71/63,811.02 = 14,447.31/x
  3. Step 3: Cross multiply
    42,538.71x = 63,811.02 × 14,447.31
  4. Step 4: Simplify right side
    42,538.71x = 921,897,587.36
  5. Step 5: Solve for x
    x = 921,897,587.36/42,538.71
  6. Step 6: Final answer
    x = 21,671.97

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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.