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Finding the Fourth Proportional to 101.44, 152.07 and 78.55

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Solution

The fourth proportional to 101.44, 152.07 and 78.55 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 152.07 = 78.55 : x
  2. Step 2: Convert to fraction form
    101.44/152.07 = 78.55/x
  3. Step 3: Cross multiply
    101.44x = 152.07 × 78.55
  4. Step 4: Simplify right side
    101.44x = 11,945.10
  5. Step 5: Solve for x
    x = 11,945.10/101.44
  6. Step 6: Final answer
    x = 117.76

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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.