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Finding the Fourth Proportional to 76,998, 106,257.56 and 41,670

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Solution

The fourth proportional to 76,998, 106,257.56 and 41,670 is: 57,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998 : 106,257.56 = 41,670 : x
  2. Step 2: Convert to fraction form
    76,998/106,257.56 = 41,670/x
  3. Step 3: Cross multiply
    76,998x = 106,257.56 × 41,670
  4. Step 4: Simplify right side
    76,998x = 4,427,752,525.20
  5. Step 5: Solve for x
    x = 4,427,752,525.20/76,998
  6. Step 6: Final answer
    x = 57,504.77

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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.