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Finding the Fourth Proportional to 53,917.60, 80,876.40 and 49,770.40

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Solution

The fourth proportional to 53,917.60, 80,876.40 and 49,770.40 is: 74,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,917.60 : 80,876.40 = 49,770.40 : x
  2. Step 2: Convert to fraction form
    53,917.60/80,876.40 = 49,770.40/x
  3. Step 3: Cross multiply
    53,917.60x = 80,876.40 × 49,770.40
  4. Step 4: Simplify right side
    53,917.60x = 4,025,250,778.56
  5. Step 5: Solve for x
    x = 4,025,250,778.56/53,917.60
  6. Step 6: Final answer
    x = 74,655.60

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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.