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Finding the Fourth Proportional to 199,640.34, 298,983.11 and 115,144.34

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Solution

The fourth proportional to 199,640.34, 298,983.11 and 115,144.34 is: 172,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,640.34 : 298,983.11 = 115,144.34 : x
  2. Step 2: Convert to fraction form
    199,640.34/298,983.11 = 115,144.34/x
  3. Step 3: Cross multiply
    199,640.34x = 298,983.11 × 115,144.34
  4. Step 4: Simplify right side
    199,640.34x = 34,426,211,377.18
  5. Step 5: Solve for x
    x = 34,426,211,377.18/199,640.34
  6. Step 6: Final answer
    x = 172,441.16

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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.