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Finding the Fourth Proportional to 80,705.81, 121,078.17 and 25,301.81

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Solution

The fourth proportional to 80,705.81, 121,078.17 and 25,301.81 is: 37,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705.81 : 121,078.17 = 25,301.81 : x
  2. Step 2: Convert to fraction form
    80,705.81/121,078.17 = 25,301.81/x
  3. Step 3: Cross multiply
    80,705.81x = 121,078.17 × 25,301.81
  4. Step 4: Simplify right side
    80,705.81x = 3,063,497,155.18
  5. Step 5: Solve for x
    x = 3,063,497,155.18/80,705.81
  6. Step 6: Final answer
    x = 37,958.82

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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.