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Finding the Fourth Proportional to 168,072, 252,148.96 and 51,336

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Solution

The fourth proportional to 168,072, 252,148.96 and 51,336 is: 77,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,072 : 252,148.96 = 51,336 : x
  2. Step 2: Convert to fraction form
    168,072/252,148.96 = 51,336/x
  3. Step 3: Cross multiply
    168,072x = 252,148.96 × 51,336
  4. Step 4: Simplify right side
    168,072x = 12,944,319,010.56
  5. Step 5: Solve for x
    x = 12,944,319,010.56/168,072
  6. Step 6: Final answer
    x = 77,016.51

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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.