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Finding the Fourth Proportional to 120,475.89, 180,990.90 and 85,018.86

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Solution

The fourth proportional to 120,475.89, 180,990.90 and 85,018.86 is: 127,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,475.89 : 180,990.90 = 85,018.86 : x
  2. Step 2: Convert to fraction form
    120,475.89/180,990.90 = 85,018.86/x
  3. Step 3: Cross multiply
    120,475.89x = 180,990.90 × 85,018.86
  4. Step 4: Simplify right side
    120,475.89x = 15,387,639,988.37
  5. Step 5: Solve for x
    x = 15,387,639,988.37/120,475.89
  6. Step 6: Final answer
    x = 127,723.81

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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.