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Finding the Fourth Proportional to 158,142.20, 218,236.77 and 86,522

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Solution

The fourth proportional to 158,142.20, 218,236.77 and 86,522 is: 119,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,142.20 : 218,236.77 = 86,522 : x
  2. Step 2: Convert to fraction form
    158,142.20/218,236.77 = 86,522/x
  3. Step 3: Cross multiply
    158,142.20x = 218,236.77 × 86,522
  4. Step 4: Simplify right side
    158,142.20x = 18,882,281,381.33
  5. Step 5: Solve for x
    x = 18,882,281,381.33/158,142.20
  6. Step 6: Final answer
    x = 119,400.65

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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.