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Finding the Fourth Proportional to 172,231.37, 258,207.65 and 53,841.77

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Solution

The fourth proportional to 172,231.37, 258,207.65 and 53,841.77 is: 80,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,231.37 : 258,207.65 = 53,841.77 : x
  2. Step 2: Convert to fraction form
    172,231.37/258,207.65 = 53,841.77/x
  3. Step 3: Cross multiply
    172,231.37x = 258,207.65 × 53,841.77
  4. Step 4: Simplify right side
    172,231.37x = 13,902,357,481.76
  5. Step 5: Solve for x
    x = 13,902,357,481.76/172,231.37
  6. Step 6: Final answer
    x = 80,719.08

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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.