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Finding the Fourth Proportional to 199,005.85, 274,161 and 138,472.39

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Solution

The fourth proportional to 199,005.85, 274,161 and 138,472.39 is: 190,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,005.85 : 274,161 = 138,472.39 : x
  2. Step 2: Convert to fraction form
    199,005.85/274,161 = 138,472.39/x
  3. Step 3: Cross multiply
    199,005.85x = 274,161 × 138,472.39
  4. Step 4: Simplify right side
    199,005.85x = 37,963,728,914.79
  5. Step 5: Solve for x
    x = 37,963,728,914.79/199,005.85
  6. Step 6: Final answer
    x = 190,766.90

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1.5x scale

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.