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Finding the Fourth Proportional to 51,177.60, 76,766.40 and 50,486.40

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Solution

The fourth proportional to 51,177.60, 76,766.40 and 50,486.40 is: 75,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177.60 : 76,766.40 = 50,486.40 : x
  2. Step 2: Convert to fraction form
    51,177.60/76,766.40 = 50,486.40/x
  3. Step 3: Cross multiply
    51,177.60x = 76,766.40 × 50,486.40
  4. Step 4: Simplify right side
    51,177.60x = 3,875,659,176.96
  5. Step 5: Solve for x
    x = 3,875,659,176.96/51,177.60
  6. Step 6: Final answer
    x = 75,729.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.