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Finding the Fourth Proportional to 206,427.93, 309,348.90 and 86,355.48

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Solution

The fourth proportional to 206,427.93, 309,348.90 and 86,355.48 is: 129,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427.93 : 309,348.90 = 86,355.48 : x
  2. Step 2: Convert to fraction form
    206,427.93/309,348.90 = 86,355.48/x
  3. Step 3: Cross multiply
    206,427.93x = 309,348.90 × 86,355.48
  4. Step 4: Simplify right side
    206,427.93x = 26,713,972,746.97
  5. Step 5: Solve for x
    x = 26,713,972,746.97/206,427.93
  6. Step 6: Final answer
    x = 129,410.65

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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.