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Finding the Fourth Proportional to 77,882.50, 116,658.51 and 75,154.42

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Solution

The fourth proportional to 77,882.50, 116,658.51 and 75,154.42 is: 112,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.50 : 116,658.51 = 75,154.42 : x
  2. Step 2: Convert to fraction form
    77,882.50/116,658.51 = 75,154.42/x
  3. Step 3: Cross multiply
    77,882.50x = 116,658.51 × 75,154.42
  4. Step 4: Simplify right side
    77,882.50x = 8,767,402,657.11
  5. Step 5: Solve for x
    x = 8,767,402,657.11/77,882.50
  6. Step 6: Final answer
    x = 112,572.18

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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.