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Finding the Fourth Proportional to 99.36, 136.96 and 78.60

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Solution

The fourth proportional to 99.36, 136.96 and 78.60 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 136.96 = 78.60 : x
  2. Step 2: Convert to fraction form
    99.36/136.96 = 78.60/x
  3. Step 3: Cross multiply
    99.36x = 136.96 × 78.60
  4. Step 4: Simplify right side
    99.36x = 10,765.37
  5. Step 5: Solve for x
    x = 10,765.37/99.36
  6. Step 6: Final answer
    x = 108.35

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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.