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Finding the Fourth Proportional to 77,132.70, 115,691.22 and 52,332.12

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Solution

The fourth proportional to 77,132.70, 115,691.22 and 52,332.12 is: 78,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132.70 : 115,691.22 = 52,332.12 : x
  2. Step 2: Convert to fraction form
    77,132.70/115,691.22 = 52,332.12/x
  3. Step 3: Cross multiply
    77,132.70x = 115,691.22 × 52,332.12
  4. Step 4: Simplify right side
    77,132.70x = 6,054,366,807.99
  5. Step 5: Solve for x
    x = 6,054,366,807.99/77,132.70
  6. Step 6: Final answer
    x = 78,492.87

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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.