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Finding the Fourth Proportional to 80,901, 121,351.50 and 25,497

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Solution

The fourth proportional to 80,901, 121,351.50 and 25,497 is: 38,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,901 : 121,351.50 = 25,497 : x
  2. Step 2: Convert to fraction form
    80,901/121,351.50 = 25,497/x
  3. Step 3: Cross multiply
    80,901x = 121,351.50 × 25,497
  4. Step 4: Simplify right side
    80,901x = 3,094,099,195.50
  5. Step 5: Solve for x
    x = 3,094,099,195.50/80,901
  6. Step 6: Final answer
    x = 38,245.50

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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.