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Finding the Fourth Proportional to 67,649.82, 101,475.44 and 30,211.80

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Solution

The fourth proportional to 67,649.82, 101,475.44 and 30,211.80 is: 45,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,649.82 : 101,475.44 = 30,211.80 : x
  2. Step 2: Convert to fraction form
    67,649.82/101,475.44 = 30,211.80/x
  3. Step 3: Cross multiply
    67,649.82x = 101,475.44 × 30,211.80
  4. Step 4: Simplify right side
    67,649.82x = 3,065,755,698.19
  5. Step 5: Solve for x
    x = 3,065,755,698.19/67,649.82
  6. Step 6: Final answer
    x = 45,318.02

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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.