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Finding the Fourth Proportional to 80,705.80, 121,078.18 and 25,301.80

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Solution

The fourth proportional to 80,705.80, 121,078.18 and 25,301.80 is: 37,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705.80 : 121,078.18 = 25,301.80 : x
  2. Step 2: Convert to fraction form
    80,705.80/121,078.18 = 25,301.80/x
  3. Step 3: Cross multiply
    80,705.80x = 121,078.18 × 25,301.80
  4. Step 4: Simplify right side
    80,705.80x = 3,063,495,894.72
  5. Step 5: Solve for x
    x = 3,063,495,894.72/80,705.80
  6. Step 6: Final answer
    x = 37,958.81

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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.