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Finding the Fourth Proportional to 75,394.61, 112,961.14 and 45,750.16

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Solution

The fourth proportional to 75,394.61, 112,961.14 and 45,750.16 is: 68,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,394.61 : 112,961.14 = 45,750.16 : x
  2. Step 2: Convert to fraction form
    75,394.61/112,961.14 = 45,750.16/x
  3. Step 3: Cross multiply
    75,394.61x = 112,961.14 × 45,750.16
  4. Step 4: Simplify right side
    75,394.61x = 5,167,990,228.78
  5. Step 5: Solve for x
    x = 5,167,990,228.78/75,394.61
  6. Step 6: Final answer
    x = 68,545.88

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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.