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Finding the Fourth Proportional to 75,377.28, 112,932.87 and 45,734.92

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Solution

The fourth proportional to 75,377.28, 112,932.87 and 45,734.92 is: 68,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.28 : 112,932.87 = 45,734.92 : x
  2. Step 2: Convert to fraction form
    75,377.28/112,932.87 = 45,734.92/x
  3. Step 3: Cross multiply
    75,377.28x = 112,932.87 × 45,734.92
  4. Step 4: Simplify right side
    75,377.28x = 5,164,975,774.82
  5. Step 5: Solve for x
    x = 5,164,975,774.82/75,377.28
  6. Step 6: Final answer
    x = 68,521.65

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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.