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Finding the Fourth Proportional to 120,741.70, 181,104.45 and 31,993.30

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Solution

The fourth proportional to 120,741.70, 181,104.45 and 31,993.30 is: 47,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,741.70 : 181,104.45 = 31,993.30 : x
  2. Step 2: Convert to fraction form
    120,741.70/181,104.45 = 31,993.30/x
  3. Step 3: Cross multiply
    120,741.70x = 181,104.45 × 31,993.30
  4. Step 4: Simplify right side
    120,741.70x = 5,794,129,000.19
  5. Step 5: Solve for x
    x = 5,794,129,000.19/120,741.70
  6. Step 6: Final answer
    x = 47,987.80

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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.