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Finding the Fourth Proportional to 81.85, 113.01 and 53.89

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Solution

The fourth proportional to 81.85, 113.01 and 53.89 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.85 : 113.01 = 53.89 : x
  2. Step 2: Convert to fraction form
    81.85/113.01 = 53.89/x
  3. Step 3: Cross multiply
    81.85x = 113.01 × 53.89
  4. Step 4: Simplify right side
    81.85x = 6,090.11
  5. Step 5: Solve for x
    x = 6,090.11/81.85
  6. Step 6: Final answer
    x = 74.41

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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.