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Finding the Fourth Proportional to 206,548.56, 309,758.04 and 66,276

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Solution

The fourth proportional to 206,548.56, 309,758.04 and 66,276 is: 99,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,548.56 : 309,758.04 = 66,276 : x
  2. Step 2: Convert to fraction form
    206,548.56/309,758.04 = 66,276/x
  3. Step 3: Cross multiply
    206,548.56x = 309,758.04 × 66,276
  4. Step 4: Simplify right side
    206,548.56x = 20,529,523,859.04
  5. Step 5: Solve for x
    x = 20,529,523,859.04/206,548.56
  6. Step 6: Final answer
    x = 99,393.21

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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.