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Finding the Fourth Proportional to 205,620.32, 283,788.16 and 125,073.11

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Solution

The fourth proportional to 205,620.32, 283,788.16 and 125,073.11 is: 172,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,620.32 : 283,788.16 = 125,073.11 : x
  2. Step 2: Convert to fraction form
    205,620.32/283,788.16 = 125,073.11/x
  3. Step 3: Cross multiply
    205,620.32x = 283,788.16 × 125,073.11
  4. Step 4: Simplify right side
    205,620.32x = 35,494,268,149.17
  5. Step 5: Solve for x
    x = 35,494,268,149.17/205,620.32
  6. Step 6: Final answer
    x = 172,620.43

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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.