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Finding the Fourth Proportional to 172,384.80, 258,471.36 and 67,081.20

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Solution

The fourth proportional to 172,384.80, 258,471.36 and 67,081.20 is: 100,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,384.80 : 258,471.36 = 67,081.20 : x
  2. Step 2: Convert to fraction form
    172,384.80/258,471.36 = 67,081.20/x
  3. Step 3: Cross multiply
    172,384.80x = 258,471.36 × 67,081.20
  4. Step 4: Simplify right side
    172,384.80x = 17,338,568,994.43
  5. Step 5: Solve for x
    x = 17,338,568,994.43/172,384.80
  6. Step 6: Final answer
    x = 100,580.61

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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.