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Finding the Fourth Proportional to 99, 136.62 and 55.34

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Solution

The fourth proportional to 99, 136.62 and 55.34 is: 76.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99 : 136.62 = 55.34 : x
  2. Step 2: Convert to fraction form
    99/136.62 = 55.34/x
  3. Step 3: Cross multiply
    99x = 136.62 × 55.34
  4. Step 4: Simplify right side
    99x = 7,560.00
  5. Step 5: Solve for x
    x = 7,560.00/99
  6. Step 6: Final answer
    x = 76.36

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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.