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Finding the Fourth Proportional to 169,014.20, 253,518.30 and 67,838

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Solution

The fourth proportional to 169,014.20, 253,518.30 and 67,838 is: 101,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014.20 : 253,518.30 = 67,838 : x
  2. Step 2: Convert to fraction form
    169,014.20/253,518.30 = 67,838/x
  3. Step 3: Cross multiply
    169,014.20x = 253,518.30 × 67,838
  4. Step 4: Simplify right side
    169,014.20x = 17,198,174,435.40
  5. Step 5: Solve for x
    x = 17,198,174,435.40/169,014.20
  6. Step 6: Final answer
    x = 101,755.80

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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.