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Finding the Fourth Proportional to 73,809.75, 101,856.90 and 41,978.61

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Solution

The fourth proportional to 73,809.75, 101,856.90 and 41,978.61 is: 57,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.75 : 101,856.90 = 41,978.61 : x
  2. Step 2: Convert to fraction form
    73,809.75/101,856.90 = 41,978.61/x
  3. Step 3: Cross multiply
    73,809.75x = 101,856.90 × 41,978.61
  4. Step 4: Simplify right side
    73,809.75x = 4,275,811,080.91
  5. Step 5: Solve for x
    x = 4,275,811,080.91/73,809.75
  6. Step 6: Final answer
    x = 57,930.17

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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.