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Finding the Fourth Proportional to 138,607.80, 207,911.70 and 82,474.80

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Solution

The fourth proportional to 138,607.80, 207,911.70 and 82,474.80 is: 123,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,607.80 : 207,911.70 = 82,474.80 : x
  2. Step 2: Convert to fraction form
    138,607.80/207,911.70 = 82,474.80/x
  3. Step 3: Cross multiply
    138,607.80x = 207,911.70 × 82,474.80
  4. Step 4: Simplify right side
    138,607.80x = 17,147,475,875.16
  5. Step 5: Solve for x
    x = 17,147,475,875.16/138,607.80
  6. Step 6: Final answer
    x = 123,712.20

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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.