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Finding the Fourth Proportional to 206,165.31, 309,032.16 and 86,290.98

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Solution

The fourth proportional to 206,165.31, 309,032.16 and 86,290.98 is: 129,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,165.31 : 309,032.16 = 86,290.98 : x
  2. Step 2: Convert to fraction form
    206,165.31/309,032.16 = 86,290.98/x
  3. Step 3: Cross multiply
    206,165.31x = 309,032.16 × 86,290.98
  4. Step 4: Simplify right side
    206,165.31x = 26,666,687,937.92
  5. Step 5: Solve for x
    x = 26,666,687,937.92/206,165.31
  6. Step 6: Final answer
    x = 129,346.14

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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.