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Finding the Fourth Proportional to 206,486.33, 285,051.42 and 138,478.59

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Solution

The fourth proportional to 206,486.33, 285,051.42 and 138,478.59 is: 191,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,486.33 : 285,051.42 = 138,478.59 : x
  2. Step 2: Convert to fraction form
    206,486.33/285,051.42 = 138,478.59/x
  3. Step 3: Cross multiply
    206,486.33x = 285,051.42 × 138,478.59
  4. Step 4: Simplify right side
    206,486.33x = 39,473,518,719.10
  5. Step 5: Solve for x
    x = 39,473,518,719.10/206,486.33
  6. Step 6: Final answer
    x = 191,167.71

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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.