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Finding the Fourth Proportional to 206,409.32, 284,723.89 and 129,806.91

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Solution

The fourth proportional to 206,409.32, 284,723.89 and 129,806.91 is: 179,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409.32 : 284,723.89 = 129,806.91 : x
  2. Step 2: Convert to fraction form
    206,409.32/284,723.89 = 129,806.91/x
  3. Step 3: Cross multiply
    206,409.32x = 284,723.89 × 129,806.91
  4. Step 4: Simplify right side
    206,409.32x = 36,959,128,364.08
  5. Step 5: Solve for x
    x = 36,959,128,364.08/206,409.32
  6. Step 6: Final answer
    x = 179,057.46

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1.5x scale

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.