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Finding the Fourth Proportional to 147,982.97, 204,217.38 and 79,999.80

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Solution

The fourth proportional to 147,982.97, 204,217.38 and 79,999.80 is: 110,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,982.97 : 204,217.38 = 79,999.80 : x
  2. Step 2: Convert to fraction form
    147,982.97/204,217.38 = 79,999.80/x
  3. Step 3: Cross multiply
    147,982.97x = 204,217.38 × 79,999.80
  4. Step 4: Simplify right side
    147,982.97x = 16,337,349,556.52
  5. Step 5: Solve for x
    x = 16,337,349,556.52/147,982.97
  6. Step 6: Final answer
    x = 110,400.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.