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Finding the Fourth Proportional to 120,874.10, 181,248.57 and 54,256.86

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Solution

The fourth proportional to 120,874.10, 181,248.57 and 54,256.86 is: 81,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.10 : 181,248.57 = 54,256.86 : x
  2. Step 2: Convert to fraction form
    120,874.10/181,248.57 = 54,256.86/x
  3. Step 3: Cross multiply
    120,874.10x = 181,248.57 × 54,256.86
  4. Step 4: Simplify right side
    120,874.10x = 9,833,978,287.69
  5. Step 5: Solve for x
    x = 9,833,978,287.69/120,874.10
  6. Step 6: Final answer
    x = 81,357.20

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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.