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Finding the Fourth Proportional to 101.75, 140.42 and 57.50

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Solution

The fourth proportional to 101.75, 140.42 and 57.50 is: 79.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.75 : 140.42 = 57.50 : x
  2. Step 2: Convert to fraction form
    101.75/140.42 = 57.50/x
  3. Step 3: Cross multiply
    101.75x = 140.42 × 57.50
  4. Step 4: Simplify right side
    101.75x = 8,073.16
  5. Step 5: Solve for x
    x = 8,073.16/101.75
  6. Step 6: Final answer
    x = 79.35

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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.