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Finding the Fourth Proportional to 83,661.64, 124,890.64 and 71,686.48

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Solution

The fourth proportional to 83,661.64, 124,890.64 and 71,686.48 is: 107,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,661.64 : 124,890.64 = 71,686.48 : x
  2. Step 2: Convert to fraction form
    83,661.64/124,890.64 = 71,686.48/x
  3. Step 3: Cross multiply
    83,661.64x = 124,890.64 × 71,686.48
  4. Step 4: Simplify right side
    83,661.64x = 8,952,970,366.55
  5. Step 5: Solve for x
    x = 8,952,970,366.55/83,661.64
  6. Step 6: Final answer
    x = 107,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.