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Finding the Fourth Proportional to 138,405.52, 207,608.40 and 99,039.52

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Solution

The fourth proportional to 138,405.52, 207,608.40 and 99,039.52 is: 148,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.52 : 207,608.40 = 99,039.52 : x
  2. Step 2: Convert to fraction form
    138,405.52/207,608.40 = 99,039.52/x
  3. Step 3: Cross multiply
    138,405.52x = 207,608.40 × 99,039.52
  4. Step 4: Simplify right side
    138,405.52x = 20,561,436,283.97
  5. Step 5: Solve for x
    x = 20,561,436,283.97/138,405.52
  6. Step 6: Final answer
    x = 148,559.37

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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.