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Finding the Fourth Proportional to 206,505, 285,077.01 and 138,497.10

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Solution

The fourth proportional to 206,505, 285,077.01 and 138,497.10 is: 191,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505 : 285,077.01 = 138,497.10 : x
  2. Step 2: Convert to fraction form
    206,505/285,077.01 = 138,497.10/x
  3. Step 3: Cross multiply
    206,505x = 285,077.01 × 138,497.10
  4. Step 4: Simplify right side
    206,505x = 39,482,339,161.67
  5. Step 5: Solve for x
    x = 39,482,339,161.67/206,505
  6. Step 6: Final answer
    x = 191,193.14

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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.