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Finding the Fourth Proportional to 204,906.40, 307,285.74 and 86,586.95

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Solution

The fourth proportional to 204,906.40, 307,285.74 and 86,586.95 is: 129,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.40 : 307,285.74 = 86,586.95 : x
  2. Step 2: Convert to fraction form
    204,906.40/307,285.74 = 86,586.95/x
  3. Step 3: Cross multiply
    204,906.40x = 307,285.74 × 86,586.95
  4. Step 4: Simplify right side
    204,906.40x = 26,606,935,773.31
  5. Step 5: Solve for x
    x = 26,606,935,773.31/204,906.40
  6. Step 6: Final answer
    x = 129,849.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.