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Finding the Fourth Proportional to 172,506, 258,759 and 47,847

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Solution

The fourth proportional to 172,506, 258,759 and 47,847 is: 71,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,506 : 258,759 = 47,847 : x
  2. Step 2: Convert to fraction form
    172,506/258,759 = 47,847/x
  3. Step 3: Cross multiply
    172,506x = 258,759 × 47,847
  4. Step 4: Simplify right side
    172,506x = 12,380,841,873
  5. Step 5: Solve for x
    x = 12,380,841,873/172,506
  6. Step 6: Final answer
    x = 71,770.50

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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.