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Finding the Fourth Proportional to 120,295.86, 180,449.73 and 31,549.56

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Solution

The fourth proportional to 120,295.86, 180,449.73 and 31,549.56 is: 47,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,295.86 : 180,449.73 = 31,549.56 : x
  2. Step 2: Convert to fraction form
    120,295.86/180,449.73 = 31,549.56/x
  3. Step 3: Cross multiply
    120,295.86x = 180,449.73 × 31,549.56
  4. Step 4: Simplify right side
    120,295.86x = 5,693,109,583.62
  5. Step 5: Solve for x
    x = 5,693,109,583.62/120,295.86
  6. Step 6: Final answer
    x = 47,325.90

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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.