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Finding the Fourth Proportional to 120,775.80, 181,091.70 and 74,062.20

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Solution

The fourth proportional to 120,775.80, 181,091.70 and 74,062.20 is: 111,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775.80 : 181,091.70 = 74,062.20 : x
  2. Step 2: Convert to fraction form
    120,775.80/181,091.70 = 74,062.20/x
  3. Step 3: Cross multiply
    120,775.80x = 181,091.70 × 74,062.20
  4. Step 4: Simplify right side
    120,775.80x = 13,412,049,703.74
  5. Step 5: Solve for x
    x = 13,412,049,703.74/120,775.80
  6. Step 6: Final answer
    x = 111,049.15

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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.