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Finding the Fourth Proportional to 68,658, 102,987.63 and 27,105

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Solution

The fourth proportional to 68,658, 102,987.63 and 27,105 is: 40,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658 : 102,987.63 = 27,105 : x
  2. Step 2: Convert to fraction form
    68,658/102,987.63 = 27,105/x
  3. Step 3: Cross multiply
    68,658x = 102,987.63 × 27,105
  4. Step 4: Simplify right side
    68,658x = 2,791,479,711.15
  5. Step 5: Solve for x
    x = 2,791,479,711.15/68,658
  6. Step 6: Final answer
    x = 40,657.75

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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.