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Finding the Fourth Proportional to 137,433.84, 206,147.52 and 43,940.40

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Solution

The fourth proportional to 137,433.84, 206,147.52 and 43,940.40 is: 65,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.84 : 206,147.52 = 43,940.40 : x
  2. Step 2: Convert to fraction form
    137,433.84/206,147.52 = 43,940.40/x
  3. Step 3: Cross multiply
    137,433.84x = 206,147.52 × 43,940.40
  4. Step 4: Simplify right side
    137,433.84x = 9,058,204,487.81
  5. Step 5: Solve for x
    x = 9,058,204,487.81/137,433.84
  6. Step 6: Final answer
    x = 65,909.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.