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Finding the Fourth Proportional to 172,862.45, 259,291.10 and 105,414.30

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Solution

The fourth proportional to 172,862.45, 259,291.10 and 105,414.30 is: 158,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,862.45 : 259,291.10 = 105,414.30 : x
  2. Step 2: Convert to fraction form
    172,862.45/259,291.10 = 105,414.30/x
  3. Step 3: Cross multiply
    172,862.45x = 259,291.10 × 105,414.30
  4. Step 4: Simplify right side
    172,862.45x = 27,332,989,275.66
  5. Step 5: Solve for x
    x = 27,332,989,275.66/172,862.45
  6. Step 6: Final answer
    x = 158,119.88

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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.