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Finding the Fourth Proportional to 68,719.38, 103,045.32 and 24,339.78

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Solution

The fourth proportional to 68,719.38, 103,045.32 and 24,339.78 is: 36,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,719.38 : 103,045.32 = 24,339.78 : x
  2. Step 2: Convert to fraction form
    68,719.38/103,045.32 = 24,339.78/x
  3. Step 3: Cross multiply
    68,719.38x = 103,045.32 × 24,339.78
  4. Step 4: Simplify right side
    68,719.38x = 2,508,100,418.83
  5. Step 5: Solve for x
    x = 2,508,100,418.83/68,719.38
  6. Step 6: Final answer
    x = 36,497.72

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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.