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Finding the Fourth Proportional to 89.04, 121.80 and 86.94

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Solution

The fourth proportional to 89.04, 121.80 and 86.94 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 121.80 = 86.94 : x
  2. Step 2: Convert to fraction form
    89.04/121.80 = 86.94/x
  3. Step 3: Cross multiply
    89.04x = 121.80 × 86.94
  4. Step 4: Simplify right side
    89.04x = 10,589.29
  5. Step 5: Solve for x
    x = 10,589.29/89.04
  6. Step 6: Final answer
    x = 118.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.