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Finding the Fourth Proportional to 94.03, 140.83 and 86.34

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Solution

The fourth proportional to 94.03, 140.83 and 86.34 is: 129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.03 : 140.83 = 86.34 : x
  2. Step 2: Convert to fraction form
    94.03/140.83 = 86.34/x
  3. Step 3: Cross multiply
    94.03x = 140.83 × 86.34
  4. Step 4: Simplify right side
    94.03x = 12,159.26
  5. Step 5: Solve for x
    x = 12,159.26/94.03
  6. Step 6: Final answer
    x = 129.31

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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.