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Finding the Fourth Proportional to 97,882.92, 135,087.90 and 54,869.72

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Solution

The fourth proportional to 97,882.92, 135,087.90 and 54,869.72 is: 75,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,882.92 : 135,087.90 = 54,869.72 : x
  2. Step 2: Convert to fraction form
    97,882.92/135,087.90 = 54,869.72/x
  3. Step 3: Cross multiply
    97,882.92x = 135,087.90 × 54,869.72
  4. Step 4: Simplify right side
    97,882.92x = 7,412,235,248.39
  5. Step 5: Solve for x
    x = 7,412,235,248.39/97,882.92
  6. Step 6: Final answer
    x = 75,725.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.