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Finding the Fourth Proportional to 172,760.12, 259,029.24 and 72,893

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Solution

The fourth proportional to 172,760.12, 259,029.24 and 72,893 is: 109,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,760.12 : 259,029.24 = 72,893 : x
  2. Step 2: Convert to fraction form
    172,760.12/259,029.24 = 72,893/x
  3. Step 3: Cross multiply
    172,760.12x = 259,029.24 × 72,893
  4. Step 4: Simplify right side
    172,760.12x = 18,881,418,391.32
  5. Step 5: Solve for x
    x = 18,881,418,391.32/172,760.12
  6. Step 6: Final answer
    x = 109,292.69

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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.