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Finding the Fourth Proportional to 255,720.65, 383,691.78 and 137,253.56

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Solution

The fourth proportional to 255,720.65, 383,691.78 and 137,253.56 is: 205,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,720.65 : 383,691.78 = 137,253.56 : x
  2. Step 2: Convert to fraction form
    255,720.65/383,691.78 = 137,253.56/x
  3. Step 3: Cross multiply
    255,720.65x = 383,691.78 × 137,253.56
  4. Step 4: Simplify right side
    255,720.65x = 52,663,063,706.97
  5. Step 5: Solve for x
    x = 52,663,063,706.97/255,720.65
  6. Step 6: Final answer
    x = 205,939.81

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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.