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Finding the Fourth Proportional to 208,098.28, 311,535.06 and 128,958.04

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Solution

The fourth proportional to 208,098.28, 311,535.06 and 128,958.04 is: 193,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.28 : 311,535.06 = 128,958.04 : x
  2. Step 2: Convert to fraction form
    208,098.28/311,535.06 = 128,958.04/x
  3. Step 3: Cross multiply
    208,098.28x = 311,535.06 × 128,958.04
  4. Step 4: Simplify right side
    208,098.28x = 40,174,950,728.88
  5. Step 5: Solve for x
    x = 40,174,950,728.88/208,098.28
  6. Step 6: Final answer
    x = 193,057.58

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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.