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Finding the Fourth Proportional to 138,314.56, 207,456.72 and 44,795.20

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Solution

The fourth proportional to 138,314.56, 207,456.72 and 44,795.20 is: 67,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314.56 : 207,456.72 = 44,795.20 : x
  2. Step 2: Convert to fraction form
    138,314.56/207,456.72 = 44,795.20/x
  3. Step 3: Cross multiply
    138,314.56x = 207,456.72 × 44,795.20
  4. Step 4: Simplify right side
    138,314.56x = 9,293,065,263.74
  5. Step 5: Solve for x
    x = 9,293,065,263.74/138,314.56
  6. Step 6: Final answer
    x = 67,187.90

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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.