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Finding the Fourth Proportional to 158,344, 218,506.38 and 86,722.50

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Solution

The fourth proportional to 158,344, 218,506.38 and 86,722.50 is: 119,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,344 : 218,506.38 = 86,722.50 : x
  2. Step 2: Convert to fraction form
    158,344/218,506.38 = 86,722.50/x
  3. Step 3: Cross multiply
    158,344x = 218,506.38 × 86,722.50
  4. Step 4: Simplify right side
    158,344x = 18,949,419,539.55
  5. Step 5: Solve for x
    x = 18,949,419,539.55/158,344
  6. Step 6: Final answer
    x = 119,672.48

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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.