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Finding the Fourth Proportional to 150,086.52, 207,110.70 and 82,089.90

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Solution

The fourth proportional to 150,086.52, 207,110.70 and 82,089.90 is: 113,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,086.52 : 207,110.70 = 82,089.90 : x
  2. Step 2: Convert to fraction form
    150,086.52/207,110.70 = 82,089.90/x
  3. Step 3: Cross multiply
    150,086.52x = 207,110.70 × 82,089.90
  4. Step 4: Simplify right side
    150,086.52x = 17,001,696,651.93
  5. Step 5: Solve for x
    x = 17,001,696,651.93/150,086.52
  6. Step 6: Final answer
    x = 113,279.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.