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Finding the Fourth Proportional to 121,301.20, 181,951.80 and 110,414.80

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Solution

The fourth proportional to 121,301.20, 181,951.80 and 110,414.80 is: 165,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,301.20 : 181,951.80 = 110,414.80 : x
  2. Step 2: Convert to fraction form
    121,301.20/181,951.80 = 110,414.80/x
  3. Step 3: Cross multiply
    121,301.20x = 181,951.80 × 110,414.80
  4. Step 4: Simplify right side
    121,301.20x = 20,090,171,606.64
  5. Step 5: Solve for x
    x = 20,090,171,606.64/121,301.20
  6. Step 6: Final answer
    x = 165,622.20

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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.