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Finding the Fourth Proportional to 71,864.64, 107,761.44 and 43,430.88

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Solution

The fourth proportional to 71,864.64, 107,761.44 and 43,430.88 is: 65,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.64 : 107,761.44 = 43,430.88 : x
  2. Step 2: Convert to fraction form
    71,864.64/107,761.44 = 43,430.88/x
  3. Step 3: Cross multiply
    71,864.64x = 107,761.44 × 43,430.88
  4. Step 4: Simplify right side
    71,864.64x = 4,680,174,169.27
  5. Step 5: Solve for x
    x = 4,680,174,169.27/71,864.64
  6. Step 6: Final answer
    x = 65,124.85

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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.