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Finding the Fourth Proportional to 75,315, 112,989.86 and 26,067

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Solution

The fourth proportional to 75,315, 112,989.86 and 26,067 is: 39,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315 : 112,989.86 = 26,067 : x
  2. Step 2: Convert to fraction form
    75,315/112,989.86 = 26,067/x
  3. Step 3: Cross multiply
    75,315x = 112,989.86 × 26,067
  4. Step 4: Simplify right side
    75,315x = 2,945,306,680.62
  5. Step 5: Solve for x
    x = 2,945,306,680.62/75,315
  6. Step 6: Final answer
    x = 39,106.51

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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.