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Finding the Fourth Proportional to 116.04, 173.64 and 89.92

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Solution

The fourth proportional to 116.04, 173.64 and 89.92 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.04 : 173.64 = 89.92 : x
  2. Step 2: Convert to fraction form
    116.04/173.64 = 89.92/x
  3. Step 3: Cross multiply
    116.04x = 173.64 × 89.92
  4. Step 4: Simplify right side
    116.04x = 15,613.71
  5. Step 5: Solve for x
    x = 15,613.71/116.04
  6. Step 6: Final answer
    x = 134.55

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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.