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Finding the Fourth Proportional to 149,255.76, 205,982.32 and 82,187.76

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Solution

The fourth proportional to 149,255.76, 205,982.32 and 82,187.76 is: 113,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,255.76 : 205,982.32 = 82,187.76 : x
  2. Step 2: Convert to fraction form
    149,255.76/205,982.32 = 82,187.76/x
  3. Step 3: Cross multiply
    149,255.76x = 205,982.32 × 82,187.76
  4. Step 4: Simplify right side
    149,255.76x = 16,929,225,480.40
  5. Step 5: Solve for x
    x = 16,929,225,480.40/149,255.76
  6. Step 6: Final answer
    x = 113,424.27

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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.