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Finding the Fourth Proportional to 204,665.59, 307,031.21 and 86,354.35

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Solution

The fourth proportional to 204,665.59, 307,031.21 and 86,354.35 is: 129,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,665.59 : 307,031.21 = 86,354.35 : x
  2. Step 2: Convert to fraction form
    204,665.59/307,031.21 = 86,354.35/x
  3. Step 3: Cross multiply
    204,665.59x = 307,031.21 × 86,354.35
  4. Step 4: Simplify right side
    204,665.59x = 26,513,481,420.79
  5. Step 5: Solve for x
    x = 26,513,481,420.79/204,665.59
  6. Step 6: Final answer
    x = 129,545.38

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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.