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Finding the Fourth Proportional to 103,834.92, 155,765.34 and 40,646.88

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Solution

The fourth proportional to 103,834.92, 155,765.34 and 40,646.88 is: 60,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,834.92 : 155,765.34 = 40,646.88 : x
  2. Step 2: Convert to fraction form
    103,834.92/155,765.34 = 40,646.88/x
  3. Step 3: Cross multiply
    103,834.92x = 155,765.34 × 40,646.88
  4. Step 4: Simplify right side
    103,834.92x = 6,331,375,083.14
  5. Step 5: Solve for x
    x = 6,331,375,083.14/103,834.92
  6. Step 6: Final answer
    x = 60,975.39

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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.