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Finding the Fourth Proportional to 138,633.76, 207,966.90 and 48,649

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Solution

The fourth proportional to 138,633.76, 207,966.90 and 48,649 is: 72,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633.76 : 207,966.90 = 48,649 : x
  2. Step 2: Convert to fraction form
    138,633.76/207,966.90 = 48,649/x
  3. Step 3: Cross multiply
    138,633.76x = 207,966.90 × 48,649
  4. Step 4: Simplify right side
    138,633.76x = 10,117,381,718.10
  5. Step 5: Solve for x
    x = 10,117,381,718.10/138,633.76
  6. Step 6: Final answer
    x = 72,979.21

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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.