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Finding the Fourth Proportional to 158,164.27, 218,269.42 and 86,545.49

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Solution

The fourth proportional to 158,164.27, 218,269.42 and 86,545.49 is: 119,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,164.27 : 218,269.42 = 86,545.49 : x
  2. Step 2: Convert to fraction form
    158,164.27/218,269.42 = 86,545.49/x
  3. Step 3: Cross multiply
    158,164.27x = 218,269.42 × 86,545.49
  4. Step 4: Simplify right side
    158,164.27x = 18,890,232,922.75
  5. Step 5: Solve for x
    x = 18,890,232,922.75/158,164.27
  6. Step 6: Final answer
    x = 119,434.26

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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.