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Finding the Fourth Proportional to 76.92, 106.20 and 52.35

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Solution

The fourth proportional to 76.92, 106.20 and 52.35 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 106.20 = 52.35 : x
  2. Step 2: Convert to fraction form
    76.92/106.20 = 52.35/x
  3. Step 3: Cross multiply
    76.92x = 106.20 × 52.35
  4. Step 4: Simplify right side
    76.92x = 5,559.57
  5. Step 5: Solve for x
    x = 5,559.57/76.92
  6. Step 6: Final answer
    x = 72.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.