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Finding the Fourth Proportional to 73.78, 110.50 and 70.67

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Solution

The fourth proportional to 73.78, 110.50 and 70.67 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 110.50 = 70.67 : x
  2. Step 2: Convert to fraction form
    73.78/110.50 = 70.67/x
  3. Step 3: Cross multiply
    73.78x = 110.50 × 70.67
  4. Step 4: Simplify right side
    73.78x = 7,809.13
  5. Step 5: Solve for x
    x = 7,809.13/73.78
  6. Step 6: Final answer
    x = 105.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.