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Finding the Fourth Proportional to 172,320.40, 258,481.01 and 52,378.44

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Solution

The fourth proportional to 172,320.40, 258,481.01 and 52,378.44 is: 78,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,320.40 : 258,481.01 = 52,378.44 : x
  2. Step 2: Convert to fraction form
    172,320.40/258,481.01 = 52,378.44/x
  3. Step 3: Cross multiply
    172,320.40x = 258,481.01 × 52,378.44
  4. Step 4: Simplify right side
    172,320.40x = 13,538,832,073.42
  5. Step 5: Solve for x
    x = 13,538,832,073.42/172,320.40
  6. Step 6: Final answer
    x = 78,567.78

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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.