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Finding the Fourth Proportional to 193,715.40, 290,469.10 and 69,040.20

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Solution

The fourth proportional to 193,715.40, 290,469.10 and 69,040.20 is: 103,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,715.40 : 290,469.10 = 69,040.20 : x
  2. Step 2: Convert to fraction form
    193,715.40/290,469.10 = 69,040.20/x
  3. Step 3: Cross multiply
    193,715.40x = 290,469.10 × 69,040.20
  4. Step 4: Simplify right side
    193,715.40x = 20,054,044,757.82
  5. Step 5: Solve for x
    x = 20,054,044,757.82/193,715.40
  6. Step 6: Final answer
    x = 103,523.23

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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.