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Finding the Fourth Proportional to 75,101.91, 112,694.39 and 30,759.78

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Solution

The fourth proportional to 75,101.91, 112,694.39 and 30,759.78 is: 46,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.91 : 112,694.39 = 30,759.78 : x
  2. Step 2: Convert to fraction form
    75,101.91/112,694.39 = 30,759.78/x
  3. Step 3: Cross multiply
    75,101.91x = 112,694.39 × 30,759.78
  4. Step 4: Simplify right side
    75,101.91x = 3,466,454,643.63
  5. Step 5: Solve for x
    x = 3,466,454,643.63/75,101.91
  6. Step 6: Final answer
    x = 46,156.68

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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.