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Finding the Fourth Proportional to 198,530.84, 297,851.84 and 80,285.20

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Solution

The fourth proportional to 198,530.84, 297,851.84 and 80,285.20 is: 120,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,530.84 : 297,851.84 = 80,285.20 : x
  2. Step 2: Convert to fraction form
    198,530.84/297,851.84 = 80,285.20/x
  3. Step 3: Cross multiply
    198,530.84x = 297,851.84 × 80,285.20
  4. Step 4: Simplify right side
    198,530.84x = 23,913,094,544.77
  5. Step 5: Solve for x
    x = 23,913,094,544.77/198,530.84
  6. Step 6: Final answer
    x = 120,450.28

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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.