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Finding the Fourth Proportional to 204,878.52, 307,359.08 and 86,549.66

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Solution

The fourth proportional to 204,878.52, 307,359.08 and 86,549.66 is: 129,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,878.52 : 307,359.08 = 86,549.66 : x
  2. Step 2: Convert to fraction form
    204,878.52/307,359.08 = 86,549.66/x
  3. Step 3: Cross multiply
    204,878.52x = 307,359.08 × 86,549.66
  4. Step 4: Simplify right side
    204,878.52x = 26,601,823,871.91
  5. Step 5: Solve for x
    x = 26,601,823,871.91/204,878.52
  6. Step 6: Final answer
    x = 129,841.94

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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.