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Finding the Fourth Proportional to 206,285.59, 308,781.33 and 141,867.91

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Solution

The fourth proportional to 206,285.59, 308,781.33 and 141,867.91 is: 212,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,285.59 : 308,781.33 = 141,867.91 : x
  2. Step 2: Convert to fraction form
    206,285.59/308,781.33 = 141,867.91/x
  3. Step 3: Cross multiply
    206,285.59x = 308,781.33 × 141,867.91
  4. Step 4: Simplify right side
    206,285.59x = 43,806,161,934.12
  5. Step 5: Solve for x
    x = 43,806,161,934.12/206,285.59
  6. Step 6: Final answer
    x = 212,356.87

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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.