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Finding the Fourth Proportional to 92,155.92, 138,229.02 and 45,393

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Solution

The fourth proportional to 92,155.92, 138,229.02 and 45,393 is: 68,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,155.92 : 138,229.02 = 45,393 : x
  2. Step 2: Convert to fraction form
    92,155.92/138,229.02 = 45,393/x
  3. Step 3: Cross multiply
    92,155.92x = 138,229.02 × 45,393
  4. Step 4: Simplify right side
    92,155.92x = 6,274,629,904.86
  5. Step 5: Solve for x
    x = 6,274,629,904.86/92,155.92
  6. Step 6: Final answer
    x = 68,087.11

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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.