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Finding the Fourth Proportional to 172,201.80, 258,229.80 and 53,841.36

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Solution

The fourth proportional to 172,201.80, 258,229.80 and 53,841.36 is: 80,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,201.80 : 258,229.80 = 53,841.36 : x
  2. Step 2: Convert to fraction form
    172,201.80/258,229.80 = 53,841.36/x
  3. Step 3: Cross multiply
    172,201.80x = 258,229.80 × 53,841.36
  4. Step 4: Simplify right side
    172,201.80x = 13,903,443,624.53
  5. Step 5: Solve for x
    x = 13,903,443,624.53/172,201.80
  6. Step 6: Final answer
    x = 80,739.25

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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.