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Finding the Fourth Proportional to 198,387, 297,582.12 and 73,728

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Solution

The fourth proportional to 198,387, 297,582.12 and 73,728 is: 110,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,387 : 297,582.12 = 73,728 : x
  2. Step 2: Convert to fraction form
    198,387/297,582.12 = 73,728/x
  3. Step 3: Cross multiply
    198,387x = 297,582.12 × 73,728
  4. Step 4: Simplify right side
    198,387x = 21,940,134,543.36
  5. Step 5: Solve for x
    x = 21,940,134,543.36/198,387
  6. Step 6: Final answer
    x = 110,592.60

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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.