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Finding the Fourth Proportional to 207,276.87, 310,915.31 and 57,517.21

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Solution

The fourth proportional to 207,276.87, 310,915.31 and 57,517.21 is: 86,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276.87 : 310,915.31 = 57,517.21 : x
  2. Step 2: Convert to fraction form
    207,276.87/310,915.31 = 57,517.21/x
  3. Step 3: Cross multiply
    207,276.87x = 310,915.31 × 57,517.21
  4. Step 4: Simplify right side
    207,276.87x = 17,882,981,177.49
  5. Step 5: Solve for x
    x = 17,882,981,177.49/207,276.87
  6. Step 6: Final answer
    x = 86,275.82

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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.