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Finding the Fourth Proportional to 83.75, 115.56 and 51

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Solution

The fourth proportional to 83.75, 115.56 and 51 is: 70.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.75 : 115.56 = 51 : x
  2. Step 2: Convert to fraction form
    83.75/115.56 = 51/x
  3. Step 3: Cross multiply
    83.75x = 115.56 × 51
  4. Step 4: Simplify right side
    83.75x = 5,893.56
  5. Step 5: Solve for x
    x = 5,893.56/83.75
  6. Step 6: Final answer
    x = 70.38

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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.