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Finding the Fourth Proportional to 109,305.17, 163,933.15 and 71,342.49

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Solution

The fourth proportional to 109,305.17, 163,933.15 and 71,342.49 is: 106,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,305.17 : 163,933.15 = 71,342.49 : x
  2. Step 2: Convert to fraction form
    109,305.17/163,933.15 = 71,342.49/x
  3. Step 3: Cross multiply
    109,305.17x = 163,933.15 × 71,342.49
  4. Step 4: Simplify right side
    109,305.17x = 11,695,399,114.54
  5. Step 5: Solve for x
    x = 11,695,399,114.54/109,305.17
  6. Step 6: Final answer
    x = 106,997.68

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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.