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Finding the Fourth Proportional to 206,395.45, 284,856.85 and 125,869.69

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Solution

The fourth proportional to 206,395.45, 284,856.85 and 125,869.69 is: 173,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,395.45 : 284,856.85 = 125,869.69 : x
  2. Step 2: Convert to fraction form
    206,395.45/284,856.85 = 125,869.69/x
  3. Step 3: Cross multiply
    206,395.45x = 284,856.85 × 125,869.69
  4. Step 4: Simplify right side
    206,395.45x = 35,854,842,294.27
  5. Step 5: Solve for x
    x = 35,854,842,294.27/206,395.45
  6. Step 6: Final answer
    x = 173,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.