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Finding the Fourth Proportional to 120,728.20, 181,084.20 and 31,979.80

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Solution

The fourth proportional to 120,728.20, 181,084.20 and 31,979.80 is: 47,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728.20 : 181,084.20 = 31,979.80 : x
  2. Step 2: Convert to fraction form
    120,728.20/181,084.20 = 31,979.80/x
  3. Step 3: Cross multiply
    120,728.20x = 181,084.20 × 31,979.80
  4. Step 4: Simplify right side
    120,728.20x = 5,791,036,499.16
  5. Step 5: Solve for x
    x = 5,791,036,499.16/120,728.20
  6. Step 6: Final answer
    x = 47,967.55

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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.