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Finding the Fourth Proportional to 189,279.38, 283,638.56 and 76,822.78

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Solution

The fourth proportional to 189,279.38, 283,638.56 and 76,822.78 is: 115,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,279.38 : 283,638.56 = 76,822.78 : x
  2. Step 2: Convert to fraction form
    189,279.38/283,638.56 = 76,822.78/x
  3. Step 3: Cross multiply
    189,279.38x = 283,638.56 × 76,822.78
  4. Step 4: Simplify right side
    189,279.38x = 21,789,902,565.14
  5. Step 5: Solve for x
    x = 21,789,902,565.14/189,279.38
  6. Step 6: Final answer
    x = 115,120.32

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1.5x scale

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.