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Finding the Fourth Proportional to 75.14, 112.78 and 53.78

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Solution

The fourth proportional to 75.14, 112.78 and 53.78 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 112.78 = 53.78 : x
  2. Step 2: Convert to fraction form
    75.14/112.78 = 53.78/x
  3. Step 3: Cross multiply
    75.14x = 112.78 × 53.78
  4. Step 4: Simplify right side
    75.14x = 6,065.31
  5. Step 5: Solve for x
    x = 6,065.31/75.14
  6. Step 6: Final answer
    x = 80.72

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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.