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Finding the Fourth Proportional to 147.64, 203.74 and 82.14

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Solution

The fourth proportional to 147.64, 203.74 and 82.14 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 203.74 = 82.14 : x
  2. Step 2: Convert to fraction form
    147.64/203.74 = 82.14/x
  3. Step 3: Cross multiply
    147.64x = 203.74 × 82.14
  4. Step 4: Simplify right side
    147.64x = 16,735.20
  5. Step 5: Solve for x
    x = 16,735.20/147.64
  6. Step 6: Final answer
    x = 113.35

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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.