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Finding the Fourth Proportional to 71,641.90, 107,462.85 and 64,260.78

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Solution

The fourth proportional to 71,641.90, 107,462.85 and 64,260.78 is: 96,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.90 : 107,462.85 = 64,260.78 : x
  2. Step 2: Convert to fraction form
    71,641.90/107,462.85 = 64,260.78/x
  3. Step 3: Cross multiply
    71,641.90x = 107,462.85 × 64,260.78
  4. Step 4: Simplify right side
    71,641.90x = 6,905,646,024.71
  5. Step 5: Solve for x
    x = 6,905,646,024.71/71,641.90
  6. Step 6: Final answer
    x = 96,391.16

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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.