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Finding the Fourth Proportional to 143.76, 198.42 and 85.58

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Solution

The fourth proportional to 143.76, 198.42 and 85.58 is: 118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.76 : 198.42 = 85.58 : x
  2. Step 2: Convert to fraction form
    143.76/198.42 = 85.58/x
  3. Step 3: Cross multiply
    143.76x = 198.42 × 85.58
  4. Step 4: Simplify right side
    143.76x = 16,980.78
  5. Step 5: Solve for x
    x = 16,980.78/143.76
  6. Step 6: Final answer
    x = 118.12

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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.