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Finding the Fourth Proportional to 83,897.50, 125,904.54 and 54,241.78

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Solution

The fourth proportional to 83,897.50, 125,904.54 and 54,241.78 is: 81,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897.50 : 125,904.54 = 54,241.78 : x
  2. Step 2: Convert to fraction form
    83,897.50/125,904.54 = 54,241.78/x
  3. Step 3: Cross multiply
    83,897.50x = 125,904.54 × 54,241.78
  4. Step 4: Simplify right side
    83,897.50x = 6,829,286,359.68
  5. Step 5: Solve for x
    x = 6,829,286,359.68/83,897.50
  6. Step 6: Final answer
    x = 81,400.36

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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.