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Finding the Fourth Proportional to 85,691.85, 128,564.03 and 38,346.81

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Solution

The fourth proportional to 85,691.85, 128,564.03 and 38,346.81 is: 57,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,691.85 : 128,564.03 = 38,346.81 : x
  2. Step 2: Convert to fraction form
    85,691.85/128,564.03 = 38,346.81/x
  3. Step 3: Cross multiply
    85,691.85x = 128,564.03 × 38,346.81
  4. Step 4: Simplify right side
    85,691.85x = 4,930,020,431.24
  5. Step 5: Solve for x
    x = 4,930,020,431.24/85,691.85
  6. Step 6: Final answer
    x = 57,531.96

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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.