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Finding the Fourth Proportional to 120,139.86, 180,190.86 and 40,177.21

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Solution

The fourth proportional to 120,139.86, 180,190.86 and 40,177.21 is: 60,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.86 : 180,190.86 = 40,177.21 : x
  2. Step 2: Convert to fraction form
    120,139.86/180,190.86 = 40,177.21/x
  3. Step 3: Cross multiply
    120,139.86x = 180,190.86 × 40,177.21
  4. Step 4: Simplify right side
    120,139.86x = 7,239,566,022.30
  5. Step 5: Solve for x
    x = 7,239,566,022.30/120,139.86
  6. Step 6: Final answer
    x = 60,259.48

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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.