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Finding the Fourth Proportional to 139.62, 209.26 and 70.06

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Solution

The fourth proportional to 139.62, 209.26 and 70.06 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 209.26 = 70.06 : x
  2. Step 2: Convert to fraction form
    139.62/209.26 = 70.06/x
  3. Step 3: Cross multiply
    139.62x = 209.26 × 70.06
  4. Step 4: Simplify right side
    139.62x = 14,660.76
  5. Step 5: Solve for x
    x = 14,660.76/139.62
  6. Step 6: Final answer
    x = 105.00

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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.