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Finding the Fourth Proportional to 78,286.68, 107,886.47 and 76,847.18

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Solution

The fourth proportional to 78,286.68, 107,886.47 and 76,847.18 is: 105,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.68 : 107,886.47 = 76,847.18 : x
  2. Step 2: Convert to fraction form
    78,286.68/107,886.47 = 76,847.18/x
  3. Step 3: Cross multiply
    78,286.68x = 107,886.47 × 76,847.18
  4. Step 4: Simplify right side
    78,286.68x = 8,290,770,055.99
  5. Step 5: Solve for x
    x = 8,290,770,055.99/78,286.68
  6. Step 6: Final answer
    x = 105,902.69

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1.5x scale

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.