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Finding the Fourth Proportional to 138,753.12, 191,500.56 and 78,348

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Solution

The fourth proportional to 138,753.12, 191,500.56 and 78,348 is: 108,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753.12 : 191,500.56 = 78,348 : x
  2. Step 2: Convert to fraction form
    138,753.12/191,500.56 = 78,348/x
  3. Step 3: Cross multiply
    138,753.12x = 191,500.56 × 78,348
  4. Step 4: Simplify right side
    138,753.12x = 15,003,685,874.88
  5. Step 5: Solve for x
    x = 15,003,685,874.88/138,753.12
  6. Step 6: Final answer
    x = 108,132.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.