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Finding the Fourth Proportional to 78,286.40, 105,764.40 and 78,286.40

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Solution

The fourth proportional to 78,286.40, 105,764.40 and 78,286.40 is: 105,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.40 : 105,764.40 = 78,286.40 : x
  2. Step 2: Convert to fraction form
    78,286.40/105,764.40 = 78,286.40/x
  3. Step 3: Cross multiply
    78,286.40x = 105,764.40 × 78,286.40
  4. Step 4: Simplify right side
    78,286.40x = 8,279,914,124.16
  5. Step 5: Solve for x
    x = 8,279,914,124.16/78,286.40
  6. Step 6: Final answer
    x = 105,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.