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Finding the Fourth Proportional to 197,832.99, 296,737.17 and 85,434.42

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Solution

The fourth proportional to 197,832.99, 296,737.17 and 85,434.42 is: 128,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,832.99 : 296,737.17 = 85,434.42 : x
  2. Step 2: Convert to fraction form
    197,832.99/296,737.17 = 85,434.42/x
  3. Step 3: Cross multiply
    197,832.99x = 296,737.17 × 85,434.42
  4. Step 4: Simplify right side
    197,832.99x = 25,351,568,011.39
  5. Step 5: Solve for x
    x = 25,351,568,011.39/197,832.99
  6. Step 6: Final answer
    x = 128,146.31

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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.