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Finding the Fourth Proportional to 78,268.68, 107,861.63 and 76,829.11

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Solution

The fourth proportional to 78,268.68, 107,861.63 and 76,829.11 is: 105,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,268.68 : 107,861.63 = 76,829.11 : x
  2. Step 2: Convert to fraction form
    78,268.68/107,861.63 = 76,829.11/x
  3. Step 3: Cross multiply
    78,268.68x = 107,861.63 × 76,829.11
  4. Step 4: Simplify right side
    78,268.68x = 8,286,912,382.25
  5. Step 5: Solve for x
    x = 8,286,912,382.25/78,268.68
  6. Step 6: Final answer
    x = 105,877.76

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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.