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Finding the Fourth Proportional to 104,414, 144,037.42 and 66,108.68

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Solution

The fourth proportional to 104,414, 144,037.42 and 66,108.68 is: 91,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,414 : 144,037.42 = 66,108.68 : x
  2. Step 2: Convert to fraction form
    104,414/144,037.42 = 66,108.68/x
  3. Step 3: Cross multiply
    104,414x = 144,037.42 × 66,108.68
  4. Step 4: Simplify right side
    104,414x = 9,522,123,706.81
  5. Step 5: Solve for x
    x = 9,522,123,706.81/104,414
  6. Step 6: Final answer
    x = 91,195.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.