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Finding the Fourth Proportional to 215,305.66, 322,991.30 and 110,089.10

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Solution

The fourth proportional to 215,305.66, 322,991.30 and 110,089.10 is: 165,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,305.66 : 322,991.30 = 110,089.10 : x
  2. Step 2: Convert to fraction form
    215,305.66/322,991.30 = 110,089.10/x
  3. Step 3: Cross multiply
    215,305.66x = 322,991.30 × 110,089.10
  4. Step 4: Simplify right side
    215,305.66x = 35,557,821,524.83
  5. Step 5: Solve for x
    x = 35,557,821,524.83/215,305.66
  6. Step 6: Final answer
    x = 165,150.43

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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.