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Finding the Fourth Proportional to 147.10, 202.99 and 81.61

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Solution

The fourth proportional to 147.10, 202.99 and 81.61 is: 112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.10 : 202.99 = 81.61 : x
  2. Step 2: Convert to fraction form
    147.10/202.99 = 81.61/x
  3. Step 3: Cross multiply
    147.10x = 202.99 × 81.61
  4. Step 4: Simplify right side
    147.10x = 16,565.20
  5. Step 5: Solve for x
    x = 16,565.20/147.10
  6. Step 6: Final answer
    x = 112.62

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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.