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Finding the Fourth Proportional to 139.94, 209.85 and 70.58

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Solution

The fourth proportional to 139.94, 209.85 and 70.58 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.94 : 209.85 = 70.58 : x
  2. Step 2: Convert to fraction form
    139.94/209.85 = 70.58/x
  3. Step 3: Cross multiply
    139.94x = 209.85 × 70.58
  4. Step 4: Simplify right side
    139.94x = 14,811.21
  5. Step 5: Solve for x
    x = 14,811.21/139.94
  6. Step 6: Final answer
    x = 105.84

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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.