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Finding the Fourth Proportional to 78,806.11, 108,760.80 and 48,197.11

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Solution

The fourth proportional to 78,806.11, 108,760.80 and 48,197.11 is: 66,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806.11 : 108,760.80 = 48,197.11 : x
  2. Step 2: Convert to fraction form
    78,806.11/108,760.80 = 48,197.11/x
  3. Step 3: Cross multiply
    78,806.11x = 108,760.80 × 48,197.11
  4. Step 4: Simplify right side
    78,806.11x = 5,241,956,241.29
  5. Step 5: Solve for x
    x = 5,241,956,241.29/78,806.11
  6. Step 6: Final answer
    x = 66,517.13

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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.