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Finding the Fourth Proportional to 201,626.30, 302,439.45 and 138,640.70

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Solution

The fourth proportional to 201,626.30, 302,439.45 and 138,640.70 is: 207,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,626.30 : 302,439.45 = 138,640.70 : x
  2. Step 2: Convert to fraction form
    201,626.30/302,439.45 = 138,640.70/x
  3. Step 3: Cross multiply
    201,626.30x = 302,439.45 × 138,640.70
  4. Step 4: Simplify right side
    201,626.30x = 41,930,417,055.62
  5. Step 5: Solve for x
    x = 41,930,417,055.62/201,626.30
  6. Step 6: Final answer
    x = 207,961.05

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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.