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Finding the Fourth Proportional to 172,306.26, 258,003.74 and 134,941.36

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Solution

The fourth proportional to 172,306.26, 258,003.74 and 134,941.36 is: 202,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,306.26 : 258,003.74 = 134,941.36 : x
  2. Step 2: Convert to fraction form
    172,306.26/258,003.74 = 134,941.36/x
  3. Step 3: Cross multiply
    172,306.26x = 258,003.74 × 134,941.36
  4. Step 4: Simplify right side
    172,306.26x = 34,815,375,560.69
  5. Step 5: Solve for x
    x = 34,815,375,560.69/172,306.26
  6. Step 6: Final answer
    x = 202,055.20

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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.