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Finding the Fourth Proportional to 172,230.56, 258,105.26 and 83,460.50

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Solution

The fourth proportional to 172,230.56, 258,105.26 and 83,460.50 is: 125,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,230.56 : 258,105.26 = 83,460.50 : x
  2. Step 2: Convert to fraction form
    172,230.56/258,105.26 = 83,460.50/x
  3. Step 3: Cross multiply
    172,230.56x = 258,105.26 × 83,460.50
  4. Step 4: Simplify right side
    172,230.56x = 21,541,594,052.23
  5. Step 5: Solve for x
    x = 21,541,594,052.23/172,230.56
  6. Step 6: Final answer
    x = 125,074.17

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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.