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Finding the Fourth Proportional to 42,330, 63,487.74 and 19,842.96

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Solution

The fourth proportional to 42,330, 63,487.74 and 19,842.96 is: 29,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,330 : 63,487.74 = 19,842.96 : x
  2. Step 2: Convert to fraction form
    42,330/63,487.74 = 19,842.96/x
  3. Step 3: Cross multiply
    42,330x = 63,487.74 × 19,842.96
  4. Step 4: Simplify right side
    42,330x = 1,259,784,685.31
  5. Step 5: Solve for x
    x = 1,259,784,685.31/42,330
  6. Step 6: Final answer
    x = 29,761.04

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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.