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Finding the Fourth Proportional to 42,542, 63,842.22 and 14,840

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Solution

The fourth proportional to 42,542, 63,842.22 and 14,840 is: 22,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542 : 63,842.22 = 14,840 : x
  2. Step 2: Convert to fraction form
    42,542/63,842.22 = 14,840/x
  3. Step 3: Cross multiply
    42,542x = 63,842.22 × 14,840
  4. Step 4: Simplify right side
    42,542x = 947,418,544.80
  5. Step 5: Solve for x
    x = 947,418,544.80/42,542
  6. Step 6: Final answer
    x = 22,270.19

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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.