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Finding the Fourth Proportional to 172,414.56, 258,639.84 and 47,755.56

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Solution

The fourth proportional to 172,414.56, 258,639.84 and 47,755.56 is: 71,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414.56 : 258,639.84 = 47,755.56 : x
  2. Step 2: Convert to fraction form
    172,414.56/258,639.84 = 47,755.56/x
  3. Step 3: Cross multiply
    172,414.56x = 258,639.84 × 47,755.56
  4. Step 4: Simplify right side
    172,414.56x = 12,351,490,397.51
  5. Step 5: Solve for x
    x = 12,351,490,397.51/172,414.56
  6. Step 6: Final answer
    x = 71,638.33

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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.