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Finding the Fourth Proportional to 206,562.44, 285,018.30 and 138,677.96

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Solution

The fourth proportional to 206,562.44, 285,018.30 and 138,677.96 is: 191,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,562.44 : 285,018.30 = 138,677.96 : x
  2. Step 2: Convert to fraction form
    206,562.44/285,018.30 = 138,677.96/x
  3. Step 3: Cross multiply
    206,562.44x = 285,018.30 × 138,677.96
  4. Step 4: Simplify right side
    206,562.44x = 39,525,754,981.58
  5. Step 5: Solve for x
    x = 39,525,754,981.58/206,562.44
  6. Step 6: Final answer
    x = 191,350.16

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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.