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Finding the Fourth Proportional to 172,489.26, 258,775.40 and 72,678

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Solution

The fourth proportional to 172,489.26, 258,775.40 and 72,678 is: 109,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,489.26 : 258,775.40 = 72,678 : x
  2. Step 2: Convert to fraction form
    172,489.26/258,775.40 = 72,678/x
  3. Step 3: Cross multiply
    172,489.26x = 258,775.40 × 72,678
  4. Step 4: Simplify right side
    172,489.26x = 18,807,278,521.20
  5. Step 5: Solve for x
    x = 18,807,278,521.20/172,489.26
  6. Step 6: Final answer
    x = 109,034.49

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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.