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Finding the Fourth Proportional to 138,319.20, 207,478.80 and 49,672.80

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Solution

The fourth proportional to 138,319.20, 207,478.80 and 49,672.80 is: 74,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,319.20 : 207,478.80 = 49,672.80 : x
  2. Step 2: Convert to fraction form
    138,319.20/207,478.80 = 49,672.80/x
  3. Step 3: Cross multiply
    138,319.20x = 207,478.80 × 49,672.80
  4. Step 4: Simplify right side
    138,319.20x = 10,306,052,936.64
  5. Step 5: Solve for x
    x = 10,306,052,936.64/138,319.20
  6. Step 6: Final answer
    x = 74,509.20

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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.