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Finding the Fourth Proportional to 75.78, 104.57 and 42.59

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Solution

The fourth proportional to 75.78, 104.57 and 42.59 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 104.57 = 42.59 : x
  2. Step 2: Convert to fraction form
    75.78/104.57 = 42.59/x
  3. Step 3: Cross multiply
    75.78x = 104.57 × 42.59
  4. Step 4: Simplify right side
    75.78x = 4,453.64
  5. Step 5: Solve for x
    x = 4,453.64/75.78
  6. Step 6: Final answer
    x = 58.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.