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Finding the Fourth Proportional to 137,754.66, 206,711.71 and 57,785.47

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Solution

The fourth proportional to 137,754.66, 206,711.71 and 57,785.47 is: 86,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,754.66 : 206,711.71 = 57,785.47 : x
  2. Step 2: Convert to fraction form
    137,754.66/206,711.71 = 57,785.47/x
  3. Step 3: Cross multiply
    137,754.66x = 206,711.71 × 57,785.47
  4. Step 4: Simplify right side
    137,754.66x = 11,944,932,283.30
  5. Step 5: Solve for x
    x = 11,944,932,283.30/137,754.66
  6. Step 6: Final answer
    x = 86,711.64

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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.