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Finding the Fourth Proportional to 84.01, 125.83 and 49.76

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Solution

The fourth proportional to 84.01, 125.83 and 49.76 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.01 : 125.83 = 49.76 : x
  2. Step 2: Convert to fraction form
    84.01/125.83 = 49.76/x
  3. Step 3: Cross multiply
    84.01x = 125.83 × 49.76
  4. Step 4: Simplify right side
    84.01x = 6,261.49
  5. Step 5: Solve for x
    x = 6,261.49/84.01
  6. Step 6: Final answer
    x = 74.53

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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.