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Finding the Fourth Proportional to 109,129.20, 163,540.20 and 80,828.40

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Solution

The fourth proportional to 109,129.20, 163,540.20 and 80,828.40 is: 121,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,129.20 : 163,540.20 = 80,828.40 : x
  2. Step 2: Convert to fraction form
    109,129.20/163,540.20 = 80,828.40/x
  3. Step 3: Cross multiply
    109,129.20x = 163,540.20 × 80,828.40
  4. Step 4: Simplify right side
    109,129.20x = 13,218,692,701.68
  5. Step 5: Solve for x
    x = 13,218,692,701.68/109,129.20
  6. Step 6: Final answer
    x = 121,128.83

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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.