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Finding the Fourth Proportional to 78,183.92, 107,892.86 and 42,373.41

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Solution

The fourth proportional to 78,183.92, 107,892.86 and 42,373.41 is: 58,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.92 : 107,892.86 = 42,373.41 : x
  2. Step 2: Convert to fraction form
    78,183.92/107,892.86 = 42,373.41/x
  3. Step 3: Cross multiply
    78,183.92x = 107,892.86 × 42,373.41
  4. Step 4: Simplify right side
    78,183.92x = 4,571,788,180.99
  5. Step 5: Solve for x
    x = 4,571,788,180.99/78,183.92
  6. Step 6: Final answer
    x = 58,474.79

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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.