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Finding the Fourth Proportional to 138,393.59, 207,119.54 and 85,057.43

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Solution

The fourth proportional to 138,393.59, 207,119.54 and 85,057.43 is: 127,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.59 : 207,119.54 = 85,057.43 : x
  2. Step 2: Convert to fraction form
    138,393.59/207,119.54 = 85,057.43/x
  3. Step 3: Cross multiply
    138,393.59x = 207,119.54 × 85,057.43
  4. Step 4: Simplify right side
    138,393.59x = 17,617,054,952.23
  5. Step 5: Solve for x
    x = 17,617,054,952.23/138,393.59
  6. Step 6: Final answer
    x = 127,296.76

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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.