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Finding the Fourth Proportional to 78,057.48, 107,694.18 and 47,811.27

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Solution

The fourth proportional to 78,057.48, 107,694.18 and 47,811.27 is: 65,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.48 : 107,694.18 = 47,811.27 : x
  2. Step 2: Convert to fraction form
    78,057.48/107,694.18 = 47,811.27/x
  3. Step 3: Cross multiply
    78,057.48x = 107,694.18 × 47,811.27
  4. Step 4: Simplify right side
    78,057.48x = 5,148,995,517.41
  5. Step 5: Solve for x
    x = 5,148,995,517.41/78,057.48
  6. Step 6: Final answer
    x = 65,964.15

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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.