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Finding the Fourth Proportional to 69,073.31, 103,216.74 and 51,864

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Solution

The fourth proportional to 69,073.31, 103,216.74 and 51,864 is: 77,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,073.31 : 103,216.74 = 51,864 : x
  2. Step 2: Convert to fraction form
    69,073.31/103,216.74 = 51,864/x
  3. Step 3: Cross multiply
    69,073.31x = 103,216.74 × 51,864
  4. Step 4: Simplify right side
    69,073.31x = 5,353,233,003.36
  5. Step 5: Solve for x
    x = 5,353,233,003.36/69,073.31
  6. Step 6: Final answer
    x = 77,500.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.