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Finding the Fourth Proportional to 80,988.75, 121,502.61 and 25,584.75

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Solution

The fourth proportional to 80,988.75, 121,502.61 and 25,584.75 is: 38,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,988.75 : 121,502.61 = 25,584.75 : x
  2. Step 2: Convert to fraction form
    80,988.75/121,502.61 = 25,584.75/x
  3. Step 3: Cross multiply
    80,988.75x = 121,502.61 × 25,584.75
  4. Step 4: Simplify right side
    80,988.75x = 3,108,613,901.20
  5. Step 5: Solve for x
    x = 3,108,613,901.20/80,988.75
  6. Step 6: Final answer
    x = 38,383.28

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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.