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Finding the Fourth Proportional to 98.95, 136.56 and 67.87

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Solution

The fourth proportional to 98.95, 136.56 and 67.87 is: 93.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.95 : 136.56 = 67.87 : x
  2. Step 2: Convert to fraction form
    98.95/136.56 = 67.87/x
  3. Step 3: Cross multiply
    98.95x = 136.56 × 67.87
  4. Step 4: Simplify right side
    98.95x = 9,267.64
  5. Step 5: Solve for x
    x = 9,267.64/98.95
  6. Step 6: Final answer
    x = 93.66

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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.