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Finding the Fourth Proportional to 147.57, 204.06 and 141.12

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Solution

The fourth proportional to 147.57, 204.06 and 141.12 is: 195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.57 : 204.06 = 141.12 : x
  2. Step 2: Convert to fraction form
    147.57/204.06 = 141.12/x
  3. Step 3: Cross multiply
    147.57x = 204.06 × 141.12
  4. Step 4: Simplify right side
    147.57x = 28,796.95
  5. Step 5: Solve for x
    x = 28,796.95/147.57
  6. Step 6: Final answer
    x = 195.14

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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.