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Finding the Fourth Proportional to 207,761.60, 311,658.60 and 89,436.80

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Solution

The fourth proportional to 207,761.60, 311,658.60 and 89,436.80 is: 134,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,761.60 : 311,658.60 = 89,436.80 : x
  2. Step 2: Convert to fraction form
    207,761.60/311,658.60 = 89,436.80/x
  3. Step 3: Cross multiply
    207,761.60x = 311,658.60 × 89,436.80
  4. Step 4: Simplify right side
    207,761.60x = 27,873,747,876.48
  5. Step 5: Solve for x
    x = 27,873,747,876.48/207,761.60
  6. Step 6: Final answer
    x = 134,162.17

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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.