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Finding the Fourth Proportional to 93.84, 141.09 and 81.90

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Solution

The fourth proportional to 93.84, 141.09 and 81.90 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.84 : 141.09 = 81.90 : x
  2. Step 2: Convert to fraction form
    93.84/141.09 = 81.90/x
  3. Step 3: Cross multiply
    93.84x = 141.09 × 81.90
  4. Step 4: Simplify right side
    93.84x = 11,554.57
  5. Step 5: Solve for x
    x = 11,554.57/93.84
  6. Step 6: Final answer
    x = 123.13

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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.