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Finding the Fourth Proportional to 192,405.30, 288,279.90 and 158,944.20

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Solution

The fourth proportional to 192,405.30, 288,279.90 and 158,944.20 is: 238,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,405.30 : 288,279.90 = 158,944.20 : x
  2. Step 2: Convert to fraction form
    192,405.30/288,279.90 = 158,944.20/x
  3. Step 3: Cross multiply
    192,405.30x = 288,279.90 × 158,944.20
  4. Step 4: Simplify right side
    192,405.30x = 45,820,418,081.58
  5. Step 5: Solve for x
    x = 45,820,418,081.58/192,405.30
  6. Step 6: Final answer
    x = 238,145.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.