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Finding the Fourth Proportional to 204,612.32, 306,899.04 and 71,468

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Solution

The fourth proportional to 204,612.32, 306,899.04 and 71,468 is: 107,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612.32 : 306,899.04 = 71,468 : x
  2. Step 2: Convert to fraction form
    204,612.32/306,899.04 = 71,468/x
  3. Step 3: Cross multiply
    204,612.32x = 306,899.04 × 71,468
  4. Step 4: Simplify right side
    204,612.32x = 21,933,460,590.72
  5. Step 5: Solve for x
    x = 21,933,460,590.72/204,612.32
  6. Step 6: Final answer
    x = 107,195.21

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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.