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Finding the Fourth Proportional to 204,737.60, 307,138.80 and 71,614.64

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Solution

The fourth proportional to 204,737.60, 307,138.80 and 71,614.64 is: 107,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,737.60 : 307,138.80 = 71,614.64 : x
  2. Step 2: Convert to fraction form
    204,737.60/307,138.80 = 71,614.64/x
  3. Step 3: Cross multiply
    204,737.60x = 307,138.80 × 71,614.64
  4. Step 4: Simplify right side
    204,737.60x = 21,995,634,592.03
  5. Step 5: Solve for x
    x = 21,995,634,592.03/204,737.60
  6. Step 6: Final answer
    x = 107,433.29

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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.