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Finding the Fourth Proportional to 117.58, 176.04 and 81.40

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Solution

The fourth proportional to 117.58, 176.04 and 81.40 is: 121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.58 : 176.04 = 81.40 : x
  2. Step 2: Convert to fraction form
    117.58/176.04 = 81.40/x
  3. Step 3: Cross multiply
    117.58x = 176.04 × 81.40
  4. Step 4: Simplify right side
    117.58x = 14,329.66
  5. Step 5: Solve for x
    x = 14,329.66/117.58
  6. Step 6: Final answer
    x = 121.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.