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Finding the Fourth Proportional to 139,694.74, 209,465.56 and 55,369.49

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Solution

The fourth proportional to 139,694.74, 209,465.56 and 55,369.49 is: 83,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,694.74 : 209,465.56 = 55,369.49 : x
  2. Step 2: Convert to fraction form
    139,694.74/209,465.56 = 55,369.49/x
  3. Step 3: Cross multiply
    139,694.74x = 209,465.56 × 55,369.49
  4. Step 4: Simplify right side
    139,694.74x = 11,598,000,251.65
  5. Step 5: Solve for x
    x = 11,598,000,251.65/139,694.74
  6. Step 6: Final answer
    x = 83,023.89

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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.