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Finding the Fourth Proportional to 88.49, 121.88 and 82.01

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Solution

The fourth proportional to 88.49, 121.88 and 82.01 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.49 : 121.88 = 82.01 : x
  2. Step 2: Convert to fraction form
    88.49/121.88 = 82.01/x
  3. Step 3: Cross multiply
    88.49x = 121.88 × 82.01
  4. Step 4: Simplify right side
    88.49x = 9,994.36
  5. Step 5: Solve for x
    x = 9,994.36/88.49
  6. Step 6: Final answer
    x = 112.95

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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.