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Finding the Fourth Proportional to 158,497.38, 218,734.92 and 86,880.42

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Solution

The fourth proportional to 158,497.38, 218,734.92 and 86,880.42 is: 119,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,497.38 : 218,734.92 = 86,880.42 : x
  2. Step 2: Convert to fraction form
    158,497.38/218,734.92 = 86,880.42/x
  3. Step 3: Cross multiply
    158,497.38x = 218,734.92 × 86,880.42
  4. Step 4: Simplify right side
    158,497.38x = 19,003,781,718.27
  5. Step 5: Solve for x
    x = 19,003,781,718.27/158,497.38
  6. Step 6: Final answer
    x = 119,899.66

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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.