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Finding the Fourth Proportional to 75.38, 112.74 and 52.50

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Solution

The fourth proportional to 75.38, 112.74 and 52.50 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 112.74 = 52.50 : x
  2. Step 2: Convert to fraction form
    75.38/112.74 = 52.50/x
  3. Step 3: Cross multiply
    75.38x = 112.74 × 52.50
  4. Step 4: Simplify right side
    75.38x = 5,918.85
  5. Step 5: Solve for x
    x = 5,918.85/75.38
  6. Step 6: Final answer
    x = 78.52

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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.