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Finding the Fourth Proportional to 202,940.79, 280,039.20 and 137,396.28

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Solution

The fourth proportional to 202,940.79, 280,039.20 and 137,396.28 is: 189,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940.79 : 280,039.20 = 137,396.28 : x
  2. Step 2: Convert to fraction form
    202,940.79/280,039.20 = 137,396.28/x
  3. Step 3: Cross multiply
    202,940.79x = 280,039.20 × 137,396.28
  4. Step 4: Simplify right side
    202,940.79x = 38,476,344,334.18
  5. Step 5: Solve for x
    x = 38,476,344,334.18/202,940.79
  6. Step 6: Final answer
    x = 189,593.94

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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.