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Finding the Fourth Proportional to 99.42, 136.98 and 78.77

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Solution

The fourth proportional to 99.42, 136.98 and 78.77 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 136.98 = 78.77 : x
  2. Step 2: Convert to fraction form
    99.42/136.98 = 78.77/x
  3. Step 3: Cross multiply
    99.42x = 136.98 × 78.77
  4. Step 4: Simplify right side
    99.42x = 10,789.23
  5. Step 5: Solve for x
    x = 10,789.23/99.42
  6. Step 6: Final answer
    x = 108.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.