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Finding the Fourth Proportional to 92,156.92, 138,230.52 and 45,394

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Solution

The fourth proportional to 92,156.92, 138,230.52 and 45,394 is: 68,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,156.92 : 138,230.52 = 45,394 : x
  2. Step 2: Convert to fraction form
    92,156.92/138,230.52 = 45,394/x
  3. Step 3: Cross multiply
    92,156.92x = 138,230.52 × 45,394
  4. Step 4: Simplify right side
    92,156.92x = 6,274,836,224.88
  5. Step 5: Solve for x
    x = 6,274,836,224.88/92,156.92
  6. Step 6: Final answer
    x = 68,088.61

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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.