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Finding the Fourth Proportional to 200,530.80, 300,785.13 and 67,397.31

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Solution

The fourth proportional to 200,530.80, 300,785.13 and 67,397.31 is: 101,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.80 : 300,785.13 = 67,397.31 : x
  2. Step 2: Convert to fraction form
    200,530.80/300,785.13 = 67,397.31/x
  3. Step 3: Cross multiply
    200,530.80x = 300,785.13 × 67,397.31
  4. Step 4: Simplify right side
    200,530.80x = 20,272,108,650.00
  5. Step 5: Solve for x
    x = 20,272,108,650.00/200,530.80
  6. Step 6: Final answer
    x = 101,092.24

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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.