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Finding the Fourth Proportional to 106,770.72, 160,213.12 and 69,321.92

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Solution

The fourth proportional to 106,770.72, 160,213.12 and 69,321.92 is: 104,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770.72 : 160,213.12 = 69,321.92 : x
  2. Step 2: Convert to fraction form
    106,770.72/160,213.12 = 69,321.92/x
  3. Step 3: Cross multiply
    106,770.72x = 160,213.12 × 69,321.92
  4. Step 4: Simplify right side
    106,770.72x = 11,106,281,087.59
  5. Step 5: Solve for x
    x = 11,106,281,087.59/106,770.72
  6. Step 6: Final answer
    x = 104,019.91

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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.