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Finding the Fourth Proportional to 200,743.80, 301,116.24 and 67,717.50

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Solution

The fourth proportional to 200,743.80, 301,116.24 and 67,717.50 is: 101,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.80 : 301,116.24 = 67,717.50 : x
  2. Step 2: Convert to fraction form
    200,743.80/301,116.24 = 67,717.50/x
  3. Step 3: Cross multiply
    200,743.80x = 301,116.24 × 67,717.50
  4. Step 4: Simplify right side
    200,743.80x = 20,390,838,982.20
  5. Step 5: Solve for x
    x = 20,390,838,982.20/200,743.80
  6. Step 6: Final answer
    x = 101,576.43

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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.