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Finding the Fourth Proportional to 104,951.82, 144,731.76 and 66,643.80

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Solution

The fourth proportional to 104,951.82, 144,731.76 and 66,643.80 is: 91,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,951.82 : 144,731.76 = 66,643.80 : x
  2. Step 2: Convert to fraction form
    104,951.82/144,731.76 = 66,643.80/x
  3. Step 3: Cross multiply
    104,951.82x = 144,731.76 × 66,643.80
  4. Step 4: Simplify right side
    104,951.82x = 9,645,474,467.09
  5. Step 5: Solve for x
    x = 9,645,474,467.09/104,951.82
  6. Step 6: Final answer
    x = 91,903.83

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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.