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Finding the Fourth Proportional to 82,015.74, 122,979.87 and 42,474.78

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Solution

The fourth proportional to 82,015.74, 122,979.87 and 42,474.78 is: 63,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.74 : 122,979.87 = 42,474.78 : x
  2. Step 2: Convert to fraction form
    82,015.74/122,979.87 = 42,474.78/x
  3. Step 3: Cross multiply
    82,015.74x = 122,979.87 × 42,474.78
  4. Step 4: Simplify right side
    82,015.74x = 5,223,542,922.68
  5. Step 5: Solve for x
    x = 5,223,542,922.68/82,015.74
  6. Step 6: Final answer
    x = 63,689.52

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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.