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Finding the Fourth Proportional to 137,754.42, 206,711.46 and 57,785.28

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Solution

The fourth proportional to 137,754.42, 206,711.46 and 57,785.28 is: 86,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,754.42 : 206,711.46 = 57,785.28 : x
  2. Step 2: Convert to fraction form
    137,754.42/206,711.46 = 57,785.28/x
  3. Step 3: Cross multiply
    137,754.42x = 206,711.46 × 57,785.28
  4. Step 4: Simplify right side
    137,754.42x = 11,944,879,595.31
  5. Step 5: Solve for x
    x = 11,944,879,595.31/137,754.42
  6. Step 6: Final answer
    x = 86,711.41

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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.