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Finding the Fourth Proportional to 138,063.54, 207,249.02 and 71,485.78

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Solution

The fourth proportional to 138,063.54, 207,249.02 and 71,485.78 is: 107,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063.54 : 207,249.02 = 71,485.78 : x
  2. Step 2: Convert to fraction form
    138,063.54/207,249.02 = 71,485.78/x
  3. Step 3: Cross multiply
    138,063.54x = 207,249.02 × 71,485.78
  4. Step 4: Simplify right side
    138,063.54x = 14,815,357,848.94
  5. Step 5: Solve for x
    x = 14,815,357,848.94/138,063.54
  6. Step 6: Final answer
    x = 107,308.26

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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.