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Finding the Fourth Proportional to 77,247.28, 115,691.08 and 75,119.16

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Solution

The fourth proportional to 77,247.28, 115,691.08 and 75,119.16 is: 112,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,247.28 : 115,691.08 = 75,119.16 : x
  2. Step 2: Convert to fraction form
    77,247.28/115,691.08 = 75,119.16/x
  3. Step 3: Cross multiply
    77,247.28x = 115,691.08 × 75,119.16
  4. Step 4: Simplify right side
    77,247.28x = 8,690,616,749.09
  5. Step 5: Solve for x
    x = 8,690,616,749.09/77,247.28
  6. Step 6: Final answer
    x = 112,503.85

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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.