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Finding the Fourth Proportional to 206,375.43, 284,838.95 and 133,868.19

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Solution

The fourth proportional to 206,375.43, 284,838.95 and 133,868.19 is: 184,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.43 : 284,838.95 = 133,868.19 : x
  2. Step 2: Convert to fraction form
    206,375.43/284,838.95 = 133,868.19/x
  3. Step 3: Cross multiply
    206,375.43x = 284,838.95 × 133,868.19
  4. Step 4: Simplify right side
    206,375.43x = 38,130,874,008.66
  5. Step 5: Solve for x
    x = 38,130,874,008.66/206,375.43
  6. Step 6: Final answer
    x = 184,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.