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Finding the Fourth Proportional to 81,850.35, 122,841.14 and 42,418.74

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Solution

The fourth proportional to 81,850.35, 122,841.14 and 42,418.74 is: 63,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,850.35 : 122,841.14 = 42,418.74 : x
  2. Step 2: Convert to fraction form
    81,850.35/122,841.14 = 42,418.74/x
  3. Step 3: Cross multiply
    81,850.35x = 122,841.14 × 42,418.74
  4. Step 4: Simplify right side
    81,850.35x = 5,210,766,378.96
  5. Step 5: Solve for x
    x = 5,210,766,378.96/81,850.35
  6. Step 6: Final answer
    x = 63,662.11

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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.