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Finding the Fourth Proportional to 172,695.60, 258,800.40 and 137,217.60

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Solution

The fourth proportional to 172,695.60, 258,800.40 and 137,217.60 is: 205,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,695.60 : 258,800.40 = 137,217.60 : x
  2. Step 2: Convert to fraction form
    172,695.60/258,800.40 = 137,217.60/x
  3. Step 3: Cross multiply
    172,695.60x = 258,800.40 × 137,217.60
  4. Step 4: Simplify right side
    172,695.60x = 35,511,969,767.04
  5. Step 5: Solve for x
    x = 35,511,969,767.04/172,695.60
  6. Step 6: Final answer
    x = 205,633.32

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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.