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Finding the Fourth Proportional to 198,529.80, 297,794.70 and 109,737.60

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Solution

The fourth proportional to 198,529.80, 297,794.70 and 109,737.60 is: 164,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,529.80 : 297,794.70 = 109,737.60 : x
  2. Step 2: Convert to fraction form
    198,529.80/297,794.70 = 109,737.60/x
  3. Step 3: Cross multiply
    198,529.80x = 297,794.70 × 109,737.60
  4. Step 4: Simplify right side
    198,529.80x = 32,679,275,670.72
  5. Step 5: Solve for x
    x = 32,679,275,670.72/198,529.80
  6. Step 6: Final answer
    x = 164,606.40

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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.