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Finding the Fourth Proportional to 269,735.67, 372,236.31 and 148,878

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Solution

The fourth proportional to 269,735.67, 372,236.31 and 148,878 is: 205,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,735.67 : 372,236.31 = 148,878 : x
  2. Step 2: Convert to fraction form
    269,735.67/372,236.31 = 148,878/x
  3. Step 3: Cross multiply
    269,735.67x = 372,236.31 × 148,878
  4. Step 4: Simplify right side
    269,735.67x = 55,417,797,360.18
  5. Step 5: Solve for x
    x = 55,417,797,360.18/269,735.67
  6. Step 6: Final answer
    x = 205,452.24

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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.