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Finding the Fourth Proportional to 206,155.79, 308,544.66 and 117,385.47

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Solution

The fourth proportional to 206,155.79, 308,544.66 and 117,385.47 is: 175,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,155.79 : 308,544.66 = 117,385.47 : x
  2. Step 2: Convert to fraction form
    206,155.79/308,544.66 = 117,385.47/x
  3. Step 3: Cross multiply
    206,155.79x = 308,544.66 × 117,385.47
  4. Step 4: Simplify right side
    206,155.79x = 36,218,659,930.09
  5. Step 5: Solve for x
    x = 36,218,659,930.09/206,155.79
  6. Step 6: Final answer
    x = 175,685.87

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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.