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Finding the Fourth Proportional to 172,231.88, 258,208.40 and 53,842.28

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Solution

The fourth proportional to 172,231.88, 258,208.40 and 53,842.28 is: 80,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,231.88 : 258,208.40 = 53,842.28 : x
  2. Step 2: Convert to fraction form
    172,231.88/258,208.40 = 53,842.28/x
  3. Step 3: Cross multiply
    172,231.88x = 258,208.40 × 53,842.28
  4. Step 4: Simplify right side
    172,231.88x = 13,902,527,680.11
  5. Step 5: Solve for x
    x = 13,902,527,680.11/172,231.88
  6. Step 6: Final answer
    x = 80,719.83

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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.