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Finding the Fourth Proportional to 269,906.72, 372,471.35 and 149,056.20

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Solution

The fourth proportional to 269,906.72, 372,471.35 and 149,056.20 is: 205,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,906.72 : 372,471.35 = 149,056.20 : x
  2. Step 2: Convert to fraction form
    269,906.72/372,471.35 = 149,056.20/x
  3. Step 3: Cross multiply
    269,906.72x = 372,471.35 × 149,056.20
  4. Step 4: Simplify right side
    269,906.72x = 55,519,163,294.59
  5. Step 5: Solve for x
    x = 55,519,163,294.59/269,906.72
  6. Step 6: Final answer
    x = 205,697.60

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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.