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Finding the Fourth Proportional to 138,386.34, 207,645.12 and 82,337.22

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Solution

The fourth proportional to 138,386.34, 207,645.12 and 82,337.22 is: 123,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,386.34 : 207,645.12 = 82,337.22 : x
  2. Step 2: Convert to fraction form
    138,386.34/207,645.12 = 82,337.22/x
  3. Step 3: Cross multiply
    138,386.34x = 207,645.12 × 82,337.22
  4. Step 4: Simplify right side
    138,386.34x = 17,096,921,927.37
  5. Step 5: Solve for x
    x = 17,096,921,927.37/138,386.34
  6. Step 6: Final answer
    x = 123,544.87

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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.