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Finding the Fourth Proportional to 138,575.35, 207,343 and 82,209.07

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Solution

The fourth proportional to 138,575.35, 207,343 and 82,209.07 is: 123,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.35 : 207,343 = 82,209.07 : x
  2. Step 2: Convert to fraction form
    138,575.35/207,343 = 82,209.07/x
  3. Step 3: Cross multiply
    138,575.35x = 207,343 × 82,209.07
  4. Step 4: Simplify right side
    138,575.35x = 17,045,475,201.01
  5. Step 5: Solve for x
    x = 17,045,475,201.01/138,575.35
  6. Step 6: Final answer
    x = 123,005.10

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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.