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Finding the Fourth Proportional to 198,649.53, 297,942.39 and 54,521.67

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Solution

The fourth proportional to 198,649.53, 297,942.39 and 54,521.67 is: 81,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,649.53 : 297,942.39 = 54,521.67 : x
  2. Step 2: Convert to fraction form
    198,649.53/297,942.39 = 54,521.67/x
  3. Step 3: Cross multiply
    198,649.53x = 297,942.39 × 54,521.67
  4. Step 4: Simplify right side
    198,649.53x = 16,244,316,666.59
  5. Step 5: Solve for x
    x = 16,244,316,666.59/198,649.53
  6. Step 6: Final answer
    x = 81,773.75

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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.