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Finding the Fourth Proportional to 138,282.80, 207,278.40 and 54,010.40

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Solution

The fourth proportional to 138,282.80, 207,278.40 and 54,010.40 is: 80,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282.80 : 207,278.40 = 54,010.40 : x
  2. Step 2: Convert to fraction form
    138,282.80/207,278.40 = 54,010.40/x
  3. Step 3: Cross multiply
    138,282.80x = 207,278.40 × 54,010.40
  4. Step 4: Simplify right side
    138,282.80x = 11,195,189,295.36
  5. Step 5: Solve for x
    x = 11,195,189,295.36/138,282.80
  6. Step 6: Final answer
    x = 80,958.65

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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.