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Finding the Fourth Proportional to 88.65, 121.50 and 85.91

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Solution

The fourth proportional to 88.65, 121.50 and 85.91 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.65 : 121.50 = 85.91 : x
  2. Step 2: Convert to fraction form
    88.65/121.50 = 85.91/x
  3. Step 3: Cross multiply
    88.65x = 121.50 × 85.91
  4. Step 4: Simplify right side
    88.65x = 10,437.46
  5. Step 5: Solve for x
    x = 10,437.46/88.65
  6. Step 6: Final answer
    x = 117.74

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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.