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Finding the Fourth Proportional to 68,781.28, 103,162.77 and 31,300.96

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Solution

The fourth proportional to 68,781.28, 103,162.77 and 31,300.96 is: 46,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,781.28 : 103,162.77 = 31,300.96 : x
  2. Step 2: Convert to fraction form
    68,781.28/103,162.77 = 31,300.96/x
  3. Step 3: Cross multiply
    68,781.28x = 103,162.77 × 31,300.96
  4. Step 4: Simplify right side
    68,781.28x = 3,229,093,737.26
  5. Step 5: Solve for x
    x = 3,229,093,737.26/68,781.28
  6. Step 6: Final answer
    x = 46,947.28

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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.