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Finding the Fourth Proportional to 120,382.78, 180,598.47 and 82,960.78

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Solution

The fourth proportional to 120,382.78, 180,598.47 and 82,960.78 is: 124,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,382.78 : 180,598.47 = 82,960.78 : x
  2. Step 2: Convert to fraction form
    120,382.78/180,598.47 = 82,960.78/x
  3. Step 3: Cross multiply
    120,382.78x = 180,598.47 × 82,960.78
  4. Step 4: Simplify right side
    120,382.78x = 14,982,589,938.01
  5. Step 5: Solve for x
    x = 14,982,589,938.01/120,382.78
  6. Step 6: Final answer
    x = 124,457.92

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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.