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Finding the Fourth Proportional to 77,659.75, 116,318.87 and 64,179.97

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Solution

The fourth proportional to 77,659.75, 116,318.87 and 64,179.97 is: 96,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.75 : 116,318.87 = 64,179.97 : x
  2. Step 2: Convert to fraction form
    77,659.75/116,318.87 = 64,179.97/x
  3. Step 3: Cross multiply
    77,659.75x = 116,318.87 × 64,179.97
  4. Step 4: Simplify right side
    77,659.75x = 7,465,341,456.69
  5. Step 5: Solve for x
    x = 7,465,341,456.69/77,659.75
  6. Step 6: Final answer
    x = 96,128.84

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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.