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Finding the Fourth Proportional to 139,507.69, 209,195.91 and 97,435.28

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Solution

The fourth proportional to 139,507.69, 209,195.91 and 97,435.28 is: 146,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,507.69 : 209,195.91 = 97,435.28 : x
  2. Step 2: Convert to fraction form
    139,507.69/209,195.91 = 97,435.28/x
  3. Step 3: Cross multiply
    139,507.69x = 209,195.91 × 97,435.28
  4. Step 4: Simplify right side
    139,507.69x = 20,383,062,065.70
  5. Step 5: Solve for x
    x = 20,383,062,065.70/139,507.69
  6. Step 6: Final answer
    x = 146,107.09

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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.