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Finding the Fourth Proportional to 116.76, 175 and 51.69

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Solution

The fourth proportional to 116.76, 175 and 51.69 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.76 : 175 = 51.69 : x
  2. Step 2: Convert to fraction form
    116.76/175 = 51.69/x
  3. Step 3: Cross multiply
    116.76x = 175 × 51.69
  4. Step 4: Simplify right side
    116.76x = 9,045.75
  5. Step 5: Solve for x
    x = 9,045.75/116.76
  6. Step 6: Final answer
    x = 77.47

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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.