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Finding the Fourth Proportional to 147.61, 203.71 and 82.12

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Solution

The fourth proportional to 147.61, 203.71 and 82.12 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.61 : 203.71 = 82.12 : x
  2. Step 2: Convert to fraction form
    147.61/203.71 = 82.12/x
  3. Step 3: Cross multiply
    147.61x = 203.71 × 82.12
  4. Step 4: Simplify right side
    147.61x = 16,728.67
  5. Step 5: Solve for x
    x = 16,728.67/147.61
  6. Step 6: Final answer
    x = 113.33

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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.