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Finding the Fourth Proportional to 120,381.54, 180,473.76 and 45,459.18

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Solution

The fourth proportional to 120,381.54, 180,473.76 and 45,459.18 is: 68,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,381.54 : 180,473.76 = 45,459.18 : x
  2. Step 2: Convert to fraction form
    120,381.54/180,473.76 = 45,459.18/x
  3. Step 3: Cross multiply
    120,381.54x = 180,473.76 × 45,459.18
  4. Step 4: Simplify right side
    120,381.54x = 8,204,189,141.12
  5. Step 5: Solve for x
    x = 8,204,189,141.12/120,381.54
  6. Step 6: Final answer
    x = 68,151.55

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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.