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Finding the Fourth Proportional to 215,687.70, 323,859.60 and 165,824.10

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Solution

The fourth proportional to 215,687.70, 323,859.60 and 165,824.10 is: 248,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,687.70 : 323,859.60 = 165,824.10 : x
  2. Step 2: Convert to fraction form
    215,687.70/323,859.60 = 165,824.10/x
  3. Step 3: Cross multiply
    215,687.70x = 323,859.60 × 165,824.10
  4. Step 4: Simplify right side
    215,687.70x = 53,703,726,696.36
  5. Step 5: Solve for x
    x = 53,703,726,696.36/215,687.70
  6. Step 6: Final answer
    x = 248,988.36

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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.