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Finding the Fourth Proportional to 210,082.84, 315,165.23 and 67,963.34

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Solution

The fourth proportional to 210,082.84, 315,165.23 and 67,963.34 is: 101,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,082.84 : 315,165.23 = 67,963.34 : x
  2. Step 2: Convert to fraction form
    210,082.84/315,165.23 = 67,963.34/x
  3. Step 3: Cross multiply
    210,082.84x = 315,165.23 × 67,963.34
  4. Step 4: Simplify right side
    210,082.84x = 21,419,681,682.67
  5. Step 5: Solve for x
    x = 21,419,681,682.67/210,082.84
  6. Step 6: Final answer
    x = 101,958.26

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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.