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Finding the Fourth Proportional to 68,781.74, 103,188.09 and 24,408.42

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Solution

The fourth proportional to 68,781.74, 103,188.09 and 24,408.42 is: 36,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,781.74 : 103,188.09 = 24,408.42 : x
  2. Step 2: Convert to fraction form
    68,781.74/103,188.09 = 24,408.42/x
  3. Step 3: Cross multiply
    68,781.74x = 103,188.09 × 24,408.42
  4. Step 4: Simplify right side
    68,781.74x = 2,518,658,239.72
  5. Step 5: Solve for x
    x = 2,518,658,239.72/68,781.74
  6. Step 6: Final answer
    x = 36,618.13

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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.