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Finding the Fourth Proportional to 172,321.54, 258,523.62 and 83,471.20

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Solution

The fourth proportional to 172,321.54, 258,523.62 and 83,471.20 is: 125,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,321.54 : 258,523.62 = 83,471.20 : x
  2. Step 2: Convert to fraction form
    172,321.54/258,523.62 = 83,471.20/x
  3. Step 3: Cross multiply
    172,321.54x = 258,523.62 × 83,471.20
  4. Step 4: Simplify right side
    172,321.54x = 21,579,276,789.74
  5. Step 5: Solve for x
    x = 21,579,276,789.74/172,321.54
  6. Step 6: Final answer
    x = 125,226.81

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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.