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Finding the Fourth Proportional to 206,502.71, 285,073.85 and 138,494.84

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Solution

The fourth proportional to 206,502.71, 285,073.85 and 138,494.84 is: 191,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.71 : 285,073.85 = 138,494.84 : x
  2. Step 2: Convert to fraction form
    206,502.71/285,073.85 = 138,494.84/x
  3. Step 3: Cross multiply
    206,502.71x = 285,073.85 × 138,494.84
  4. Step 4: Simplify right side
    206,502.71x = 39,481,256,551.46
  5. Step 5: Solve for x
    x = 39,481,256,551.46/206,502.71
  6. Step 6: Final answer
    x = 191,190.02

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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.