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Finding the Fourth Proportional to 70.86, 106.05 and 49.09

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Solution

The fourth proportional to 70.86, 106.05 and 49.09 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 106.05 = 49.09 : x
  2. Step 2: Convert to fraction form
    70.86/106.05 = 49.09/x
  3. Step 3: Cross multiply
    70.86x = 106.05 × 49.09
  4. Step 4: Simplify right side
    70.86x = 5,205.99
  5. Step 5: Solve for x
    x = 5,205.99/70.86
  6. Step 6: Final answer
    x = 73.47

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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.