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Finding the Fourth Proportional to 104.17, 143.68 and 73.09

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Solution

The fourth proportional to 104.17, 143.68 and 73.09 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.17 : 143.68 = 73.09 : x
  2. Step 2: Convert to fraction form
    104.17/143.68 = 73.09/x
  3. Step 3: Cross multiply
    104.17x = 143.68 × 73.09
  4. Step 4: Simplify right side
    104.17x = 10,502.11
  5. Step 5: Solve for x
    x = 10,502.11/104.17
  6. Step 6: Final answer
    x = 100.82

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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.