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Finding the Fourth Proportional to 172,397.56, 258,614.34 and 47,738.56

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Solution

The fourth proportional to 172,397.56, 258,614.34 and 47,738.56 is: 71,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397.56 : 258,614.34 = 47,738.56 : x
  2. Step 2: Convert to fraction form
    172,397.56/258,614.34 = 47,738.56/x
  3. Step 3: Cross multiply
    172,397.56x = 258,614.34 × 47,738.56
  4. Step 4: Simplify right side
    172,397.56x = 12,345,876,186.95
  5. Step 5: Solve for x
    x = 12,345,876,186.95/172,397.56
  6. Step 6: Final answer
    x = 71,612.82

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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.