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Finding the Fourth Proportional to 158,198.70, 218,314.29 and 86,578.68

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Solution

The fourth proportional to 158,198.70, 218,314.29 and 86,578.68 is: 119,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,198.70 : 218,314.29 = 86,578.68 : x
  2. Step 2: Convert to fraction form
    158,198.70/218,314.29 = 86,578.68/x
  3. Step 3: Cross multiply
    158,198.70x = 218,314.29 × 86,578.68
  4. Step 4: Simplify right side
    158,198.70x = 18,901,363,053.34
  5. Step 5: Solve for x
    x = 18,901,363,053.34/158,198.70
  6. Step 6: Final answer
    x = 119,478.62

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1.5x scale

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.