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Finding the Fourth Proportional to 198,145.92, 297,270.72 and 109,384.32

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Solution

The fourth proportional to 198,145.92, 297,270.72 and 109,384.32 is: 164,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,145.92 : 297,270.72 = 109,384.32 : x
  2. Step 2: Convert to fraction form
    198,145.92/297,270.72 = 109,384.32/x
  3. Step 3: Cross multiply
    198,145.92x = 297,270.72 × 109,384.32
  4. Step 4: Simplify right side
    198,145.92x = 32,516,755,563.11
  5. Step 5: Solve for x
    x = 32,516,755,563.11/198,145.92
  6. Step 6: Final answer
    x = 164,105.10

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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.