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Finding the Fourth Proportional to 89.19, 134.56 and 86.76

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Solution

The fourth proportional to 89.19, 134.56 and 86.76 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.19 : 134.56 = 86.76 : x
  2. Step 2: Convert to fraction form
    89.19/134.56 = 86.76/x
  3. Step 3: Cross multiply
    89.19x = 134.56 × 86.76
  4. Step 4: Simplify right side
    89.19x = 11,673.99
  5. Step 5: Solve for x
    x = 11,673.99/89.19
  6. Step 6: Final answer
    x = 130.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.