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Finding the Fourth Proportional to 138,247.84, 207,430.08 and 82,195.03

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Solution

The fourth proportional to 138,247.84, 207,430.08 and 82,195.03 is: 123,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,247.84 : 207,430.08 = 82,195.03 : x
  2. Step 2: Convert to fraction form
    138,247.84/207,430.08 = 82,195.03/x
  3. Step 3: Cross multiply
    138,247.84x = 207,430.08 × 82,195.03
  4. Step 4: Simplify right side
    138,247.84x = 17,049,721,648.50
  5. Step 5: Solve for x
    x = 17,049,721,648.50/138,247.84
  6. Step 6: Final answer
    x = 123,327.22

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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.