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Finding the Fourth Proportional to 91,114.92, 136,678.14 and 38,517.48

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Solution

The fourth proportional to 91,114.92, 136,678.14 and 38,517.48 is: 57,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,114.92 : 136,678.14 = 38,517.48 : x
  2. Step 2: Convert to fraction form
    91,114.92/136,678.14 = 38,517.48/x
  3. Step 3: Cross multiply
    91,114.92x = 136,678.14 × 38,517.48
  4. Step 4: Simplify right side
    91,114.92x = 5,264,497,523.89
  5. Step 5: Solve for x
    x = 5,264,497,523.89/91,114.92
  6. Step 6: Final answer
    x = 57,778.65

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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.