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Finding the Fourth Proportional to 149,139.54, 205,821.42 and 85,481.44

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Solution

The fourth proportional to 149,139.54, 205,821.42 and 85,481.44 is: 117,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,139.54 : 205,821.42 = 85,481.44 : x
  2. Step 2: Convert to fraction form
    149,139.54/205,821.42 = 85,481.44/x
  3. Step 3: Cross multiply
    149,139.54x = 205,821.42 × 85,481.44
  4. Step 4: Simplify right side
    149,139.54x = 17,593,911,364.44
  5. Step 5: Solve for x
    x = 17,593,911,364.44/149,139.54
  6. Step 6: Final answer
    x = 117,969.46

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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.