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Finding the Fourth Proportional to 73.90, 110.09 and 70.38

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Solution

The fourth proportional to 73.90, 110.09 and 70.38 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.90 : 110.09 = 70.38 : x
  2. Step 2: Convert to fraction form
    73.90/110.09 = 70.38/x
  3. Step 3: Cross multiply
    73.90x = 110.09 × 70.38
  4. Step 4: Simplify right side
    73.90x = 7,748.13
  5. Step 5: Solve for x
    x = 7,748.13/73.90
  6. Step 6: Final answer
    x = 104.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.