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Finding the Fourth Proportional to 269,110, 371,371.80 and 149,878

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Solution

The fourth proportional to 269,110, 371,371.80 and 149,878 is: 206,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,110 : 371,371.80 = 149,878 : x
  2. Step 2: Convert to fraction form
    269,110/371,371.80 = 149,878/x
  3. Step 3: Cross multiply
    269,110x = 371,371.80 × 149,878
  4. Step 4: Simplify right side
    269,110x = 55,660,462,640.40
  5. Step 5: Solve for x
    x = 55,660,462,640.40/269,110
  6. Step 6: Final answer
    x = 206,831.64

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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.