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Finding the Fourth Proportional to 120,707, 181,067.42 and 31,958.20

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Solution

The fourth proportional to 120,707, 181,067.42 and 31,958.20 is: 47,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,707 : 181,067.42 = 31,958.20 : x
  2. Step 2: Convert to fraction form
    120,707/181,067.42 = 31,958.20/x
  3. Step 3: Cross multiply
    120,707x = 181,067.42 × 31,958.20
  4. Step 4: Simplify right side
    120,707x = 5,786,588,821.84
  5. Step 5: Solve for x
    x = 5,786,588,821.84/120,707
  6. Step 6: Final answer
    x = 47,939.13

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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.