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Finding the Fourth Proportional to 135,463.34, 203,319.75 and 68,951

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Solution

The fourth proportional to 135,463.34, 203,319.75 and 68,951 is: 103,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,463.34 : 203,319.75 = 68,951 : x
  2. Step 2: Convert to fraction form
    135,463.34/203,319.75 = 68,951/x
  3. Step 3: Cross multiply
    135,463.34x = 203,319.75 × 68,951
  4. Step 4: Simplify right side
    135,463.34x = 14,019,100,082.25
  5. Step 5: Solve for x
    x = 14,019,100,082.25/135,463.34
  6. Step 6: Final answer
    x = 103,489.99

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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.