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Finding the Fourth Proportional to 80,902, 121,353 and 25,498

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Solution

The fourth proportional to 80,902, 121,353 and 25,498 is: 38,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,902 : 121,353 = 25,498 : x
  2. Step 2: Convert to fraction form
    80,902/121,353 = 25,498/x
  3. Step 3: Cross multiply
    80,902x = 121,353 × 25,498
  4. Step 4: Simplify right side
    80,902x = 3,094,258,794
  5. Step 5: Solve for x
    x = 3,094,258,794/80,902
  6. Step 6: Final answer
    x = 38,247

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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.