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Finding the Fourth Proportional to 149,142.41, 205,816.56 and 82,074.41

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Solution

The fourth proportional to 149,142.41, 205,816.56 and 82,074.41 is: 113,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.41 : 205,816.56 = 82,074.41 : x
  2. Step 2: Convert to fraction form
    149,142.41/205,816.56 = 82,074.41/x
  3. Step 3: Cross multiply
    149,142.41x = 205,816.56 × 82,074.41
  4. Step 4: Simplify right side
    149,142.41x = 16,892,271,290.77
  5. Step 5: Solve for x
    x = 16,892,271,290.77/149,142.41
  6. Step 6: Final answer
    x = 113,262.70

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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.