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Finding the Fourth Proportional to 80,970, 121,455 and 25,566

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Solution

The fourth proportional to 80,970, 121,455 and 25,566 is: 38,349

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970 : 121,455 = 25,566 : x
  2. Step 2: Convert to fraction form
    80,970/121,455 = 25,566/x
  3. Step 3: Cross multiply
    80,970x = 121,455 × 25,566
  4. Step 4: Simplify right side
    80,970x = 3,105,118,530
  5. Step 5: Solve for x
    x = 3,105,118,530/80,970
  6. Step 6: Final answer
    x = 38,349

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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.