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Finding the Fourth Proportional to 120,853.92, 181,253.48 and 45,947.42

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Solution

The fourth proportional to 120,853.92, 181,253.48 and 45,947.42 is: 68,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.92 : 181,253.48 = 45,947.42 : x
  2. Step 2: Convert to fraction form
    120,853.92/181,253.48 = 45,947.42/x
  3. Step 3: Cross multiply
    120,853.92x = 181,253.48 × 45,947.42
  4. Step 4: Simplify right side
    120,853.92x = 8,328,129,772.02
  5. Step 5: Solve for x
    x = 8,328,129,772.02/120,853.92
  6. Step 6: Final answer
    x = 68,910.71

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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.