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Finding the Fourth Proportional to 138,318.70, 207,478.05 and 49,672.30

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Solution

The fourth proportional to 138,318.70, 207,478.05 and 49,672.30 is: 74,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318.70 : 207,478.05 = 49,672.30 : x
  2. Step 2: Convert to fraction form
    138,318.70/207,478.05 = 49,672.30/x
  3. Step 3: Cross multiply
    138,318.70x = 207,478.05 × 49,672.30
  4. Step 4: Simplify right side
    138,318.70x = 10,305,911,943.02
  5. Step 5: Solve for x
    x = 10,305,911,943.02/138,318.70
  6. Step 6: Final answer
    x = 74,508.45

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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.