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Finding the Fourth Proportional to 138,921.62, 208,661.67 and 82,871.24

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Solution

The fourth proportional to 138,921.62, 208,661.67 and 82,871.24 is: 124,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,921.62 : 208,661.67 = 82,871.24 : x
  2. Step 2: Convert to fraction form
    138,921.62/208,661.67 = 82,871.24/x
  3. Step 3: Cross multiply
    138,921.62x = 208,661.67 × 82,871.24
  4. Step 4: Simplify right side
    138,921.62x = 17,292,050,290.06
  5. Step 5: Solve for x
    x = 17,292,050,290.06/138,921.62
  6. Step 6: Final answer
    x = 124,473.43

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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.