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Finding the Fourth Proportional to 172,920.80, 259,429.80 and 84,177.20

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Solution

The fourth proportional to 172,920.80, 259,429.80 and 84,177.20 is: 126,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,920.80 : 259,429.80 = 84,177.20 : x
  2. Step 2: Convert to fraction form
    172,920.80/259,429.80 = 84,177.20/x
  3. Step 3: Cross multiply
    172,920.80x = 259,429.80 × 84,177.20
  4. Step 4: Simplify right side
    172,920.80x = 21,838,074,160.56
  5. Step 5: Solve for x
    x = 21,838,074,160.56/172,920.80
  6. Step 6: Final answer
    x = 126,289.46

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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.