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Finding the Fourth Proportional to 75.39, 113.00 and 41.12

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Solution

The fourth proportional to 75.39, 113.00 and 41.12 is: 61.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 113.00 = 41.12 : x
  2. Step 2: Convert to fraction form
    75.39/113.00 = 41.12/x
  3. Step 3: Cross multiply
    75.39x = 113.00 × 41.12
  4. Step 4: Simplify right side
    75.39x = 4,646.10
  5. Step 5: Solve for x
    x = 4,646.10/75.39
  6. Step 6: Final answer
    x = 61.63

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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.