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Finding the Fourth Proportional to 78,082.10, 107,724.30 and 51,239.54

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Solution

The fourth proportional to 78,082.10, 107,724.30 and 51,239.54 is: 70,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.10 : 107,724.30 = 51,239.54 : x
  2. Step 2: Convert to fraction form
    78,082.10/107,724.30 = 51,239.54/x
  3. Step 3: Cross multiply
    78,082.10x = 107,724.30 × 51,239.54
  4. Step 4: Simplify right side
    78,082.10x = 5,519,743,578.82
  5. Step 5: Solve for x
    x = 5,519,743,578.82/78,082.10
  6. Step 6: Final answer
    x = 70,691.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.