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Finding the Fourth Proportional to 158,523.75, 218,769.39 and 86,906.52

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Solution

The fourth proportional to 158,523.75, 218,769.39 and 86,906.52 is: 119,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,523.75 : 218,769.39 = 86,906.52 : x
  2. Step 2: Convert to fraction form
    158,523.75/218,769.39 = 86,906.52/x
  3. Step 3: Cross multiply
    158,523.75x = 218,769.39 × 86,906.52
  4. Step 4: Simplify right side
    158,523.75x = 19,012,486,367.42
  5. Step 5: Solve for x
    x = 19,012,486,367.42/158,523.75
  6. Step 6: Final answer
    x = 119,934.62

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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.