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Finding the Fourth Proportional to 172,004.80, 258,007.20 and 83,431.30

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Solution

The fourth proportional to 172,004.80, 258,007.20 and 83,431.30 is: 125,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,004.80 : 258,007.20 = 83,431.30 : x
  2. Step 2: Convert to fraction form
    172,004.80/258,007.20 = 83,431.30/x
  3. Step 3: Cross multiply
    172,004.80x = 258,007.20 × 83,431.30
  4. Step 4: Simplify right side
    172,004.80x = 21,525,876,105.36
  5. Step 5: Solve for x
    x = 21,525,876,105.36/172,004.80
  6. Step 6: Final answer
    x = 125,146.95

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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.