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Finding the Fourth Proportional to 101.50, 140.13 and 81.77

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Solution

The fourth proportional to 101.50, 140.13 and 81.77 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 140.13 = 81.77 : x
  2. Step 2: Convert to fraction form
    101.50/140.13 = 81.77/x
  3. Step 3: Cross multiply
    101.50x = 140.13 × 81.77
  4. Step 4: Simplify right side
    101.50x = 11,457.73
  5. Step 5: Solve for x
    x = 11,457.73/101.50
  6. Step 6: Final answer
    x = 112.89

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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.