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Finding the Fourth Proportional to 68,578.84, 102,790.50 and 29,111.32

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Solution

The fourth proportional to 68,578.84, 102,790.50 and 29,111.32 is: 43,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578.84 : 102,790.50 = 29,111.32 : x
  2. Step 2: Convert to fraction form
    68,578.84/102,790.50 = 29,111.32/x
  3. Step 3: Cross multiply
    68,578.84x = 102,790.50 × 29,111.32
  4. Step 4: Simplify right side
    68,578.84x = 2,992,367,138.46
  5. Step 5: Solve for x
    x = 2,992,367,138.46/68,578.84
  6. Step 6: Final answer
    x = 43,633.97

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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.