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Finding the Fourth Proportional to 113,817.26, 156,971.42 and 68,486.78

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Solution

The fourth proportional to 113,817.26, 156,971.42 and 68,486.78 is: 94,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,817.26 : 156,971.42 = 68,486.78 : x
  2. Step 2: Convert to fraction form
    113,817.26/156,971.42 = 68,486.78/x
  3. Step 3: Cross multiply
    113,817.26x = 156,971.42 × 68,486.78
  4. Step 4: Simplify right side
    113,817.26x = 10,750,467,107.83
  5. Step 5: Solve for x
    x = 10,750,467,107.83/113,817.26
  6. Step 6: Final answer
    x = 94,453.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.