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Finding the Fourth Proportional to 78.28, 118.03 and 72.52

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Solution

The fourth proportional to 78.28, 118.03 and 72.52 is: 109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.28 : 118.03 = 72.52 : x
  2. Step 2: Convert to fraction form
    78.28/118.03 = 72.52/x
  3. Step 3: Cross multiply
    78.28x = 118.03 × 72.52
  4. Step 4: Simplify right side
    78.28x = 8,559.54
  5. Step 5: Solve for x
    x = 8,559.54/78.28
  6. Step 6: Final answer
    x = 109.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.