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Finding the Fourth Proportional to 143.59, 198.09 and 87.52

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Solution

The fourth proportional to 143.59, 198.09 and 87.52 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 198.09 = 87.52 : x
  2. Step 2: Convert to fraction form
    143.59/198.09 = 87.52/x
  3. Step 3: Cross multiply
    143.59x = 198.09 × 87.52
  4. Step 4: Simplify right side
    143.59x = 17,336.84
  5. Step 5: Solve for x
    x = 17,336.84/143.59
  6. Step 6: Final answer
    x = 120.74

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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.