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Finding the Fourth Proportional to 69,411.56, 104,170.82 and 36,140

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Solution

The fourth proportional to 69,411.56, 104,170.82 and 36,140 is: 54,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,411.56 : 104,170.82 = 36,140 : x
  2. Step 2: Convert to fraction form
    69,411.56/104,170.82 = 36,140/x
  3. Step 3: Cross multiply
    69,411.56x = 104,170.82 × 36,140
  4. Step 4: Simplify right side
    69,411.56x = 3,764,733,434.80
  5. Step 5: Solve for x
    x = 3,764,733,434.80/69,411.56
  6. Step 6: Final answer
    x = 54,237.85

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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.