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Finding the Fourth Proportional to 198,424.38, 297,635.76 and 72,064.38

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Solution

The fourth proportional to 198,424.38, 297,635.76 and 72,064.38 is: 108,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,424.38 : 297,635.76 = 72,064.38 : x
  2. Step 2: Convert to fraction form
    198,424.38/297,635.76 = 72,064.38/x
  3. Step 3: Cross multiply
    198,424.38x = 297,635.76 × 72,064.38
  4. Step 4: Simplify right side
    198,424.38x = 21,448,936,510.23
  5. Step 5: Solve for x
    x = 21,448,936,510.23/198,424.38
  6. Step 6: Final answer
    x = 108,096.28

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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.