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Finding the Fourth Proportional to 92,160.92, 138,236.52 and 45,398

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Solution

The fourth proportional to 92,160.92, 138,236.52 and 45,398 is: 68,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,160.92 : 138,236.52 = 45,398 : x
  2. Step 2: Convert to fraction form
    92,160.92/138,236.52 = 45,398/x
  3. Step 3: Cross multiply
    92,160.92x = 138,236.52 × 45,398
  4. Step 4: Simplify right side
    92,160.92x = 6,275,661,534.96
  5. Step 5: Solve for x
    x = 6,275,661,534.96/92,160.92
  6. Step 6: Final answer
    x = 68,094.61

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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.