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Finding the Fourth Proportional to 80,930, 121,395 and 25,526

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Solution

The fourth proportional to 80,930, 121,395 and 25,526 is: 38,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930 : 121,395 = 25,526 : x
  2. Step 2: Convert to fraction form
    80,930/121,395 = 25,526/x
  3. Step 3: Cross multiply
    80,930x = 121,395 × 25,526
  4. Step 4: Simplify right side
    80,930x = 3,098,728,770
  5. Step 5: Solve for x
    x = 3,098,728,770/80,930
  6. Step 6: Final answer
    x = 38,289

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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.