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Finding the Fourth Proportional to 158,274.22, 218,418.42 and 86,654.24

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Solution

The fourth proportional to 158,274.22, 218,418.42 and 86,654.24 is: 119,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274.22 : 218,418.42 = 86,654.24 : x
  2. Step 2: Convert to fraction form
    158,274.22/218,418.42 = 86,654.24/x
  3. Step 3: Cross multiply
    158,274.22x = 218,418.42 × 86,654.24
  4. Step 4: Simplify right side
    158,274.22x = 18,926,882,187.10
  5. Step 5: Solve for x
    x = 18,926,882,187.10/158,274.22
  6. Step 6: Final answer
    x = 119,582.85

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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.