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Finding the Fourth Proportional to 257,648.91, 386,079.23 and 137,722.92

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Solution

The fourth proportional to 257,648.91, 386,079.23 and 137,722.92 is: 206,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,648.91 : 386,079.23 = 137,722.92 : x
  2. Step 2: Convert to fraction form
    257,648.91/386,079.23 = 137,722.92/x
  3. Step 3: Cross multiply
    257,648.91x = 386,079.23 × 137,722.92
  4. Step 4: Simplify right side
    257,648.91x = 53,171,956,287.94
  5. Step 5: Solve for x
    x = 53,171,956,287.94/257,648.91
  6. Step 6: Final answer
    x = 206,373.69

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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.