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Finding the Fourth Proportional to 140.76, 210.93 and 86.49

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Solution

The fourth proportional to 140.76, 210.93 and 86.49 is: 129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 210.93 = 86.49 : x
  2. Step 2: Convert to fraction form
    140.76/210.93 = 86.49/x
  3. Step 3: Cross multiply
    140.76x = 210.93 × 86.49
  4. Step 4: Simplify right side
    140.76x = 18,243.34
  5. Step 5: Solve for x
    x = 18,243.34/140.76
  6. Step 6: Final answer
    x = 129.61

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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.