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Finding the Fourth Proportional to 204,502.94, 306,795.87 and 86,174.22

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Solution

The fourth proportional to 204,502.94, 306,795.87 and 86,174.22 is: 129,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,502.94 : 306,795.87 = 86,174.22 : x
  2. Step 2: Convert to fraction form
    204,502.94/306,795.87 = 86,174.22/x
  3. Step 3: Cross multiply
    204,502.94x = 306,795.87 × 86,174.22
  4. Step 4: Simplify right side
    204,502.94x = 26,437,894,796.47
  5. Step 5: Solve for x
    x = 26,437,894,796.47/204,502.94
  6. Step 6: Final answer
    x = 129,278.80

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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.