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Finding the Fourth Proportional to 169,006.20, 253,506.30 and 67,830

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Solution

The fourth proportional to 169,006.20, 253,506.30 and 67,830 is: 101,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,006.20 : 253,506.30 = 67,830 : x
  2. Step 2: Convert to fraction form
    169,006.20/253,506.30 = 67,830/x
  3. Step 3: Cross multiply
    169,006.20x = 253,506.30 × 67,830
  4. Step 4: Simplify right side
    169,006.20x = 17,195,332,329
  5. Step 5: Solve for x
    x = 17,195,332,329/169,006.20
  6. Step 6: Final answer
    x = 101,743.80

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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.