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Finding the Fourth Proportional to 215,302.66, 322,986.80 and 110,086.09

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Solution

The fourth proportional to 215,302.66, 322,986.80 and 110,086.09 is: 165,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,302.66 : 322,986.80 = 110,086.09 : x
  2. Step 2: Convert to fraction form
    215,302.66/322,986.80 = 110,086.09/x
  3. Step 3: Cross multiply
    215,302.66x = 322,986.80 × 110,086.09
  4. Step 4: Simplify right side
    215,302.66x = 35,556,353,933.61
  5. Step 5: Solve for x
    x = 35,556,353,933.61/215,302.66
  6. Step 6: Final answer
    x = 165,145.91

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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.