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Finding the Fourth Proportional to 138,049.80, 207,184.05 and 53,850.30

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Solution

The fourth proportional to 138,049.80, 207,184.05 and 53,850.30 is: 80,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,049.80 : 207,184.05 = 53,850.30 : x
  2. Step 2: Convert to fraction form
    138,049.80/207,184.05 = 53,850.30/x
  3. Step 3: Cross multiply
    138,049.80x = 207,184.05 × 53,850.30
  4. Step 4: Simplify right side
    138,049.80x = 11,156,923,247.72
  5. Step 5: Solve for x
    x = 11,156,923,247.72/138,049.80
  6. Step 6: Final answer
    x = 80,818.11

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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.