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Finding the Fourth Proportional to 101.84, 140.85 and 85.43

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Solution

The fourth proportional to 101.84, 140.85 and 85.43 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 140.85 = 85.43 : x
  2. Step 2: Convert to fraction form
    101.84/140.85 = 85.43/x
  3. Step 3: Cross multiply
    101.84x = 140.85 × 85.43
  4. Step 4: Simplify right side
    101.84x = 12,032.11
  5. Step 5: Solve for x
    x = 12,032.11/101.84
  6. Step 6: Final answer
    x = 118.15

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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.