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Finding the Fourth Proportional to 206,298.83, 284,785.65 and 129,930.17

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Solution

The fourth proportional to 206,298.83, 284,785.65 and 129,930.17 is: 179,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,298.83 : 284,785.65 = 129,930.17 : x
  2. Step 2: Convert to fraction form
    206,298.83/284,785.65 = 129,930.17/x
  3. Step 3: Cross multiply
    206,298.83x = 284,785.65 × 129,930.17
  4. Step 4: Simplify right side
    206,298.83x = 37,002,246,494.13
  5. Step 5: Solve for x
    x = 37,002,246,494.13/206,298.83
  6. Step 6: Final answer
    x = 179,362.37

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1.5x scale

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.