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Finding the Fourth Proportional to 53,778.50, 80,667.84 and 20,946.50

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Solution

The fourth proportional to 53,778.50, 80,667.84 and 20,946.50 is: 31,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,778.50 : 80,667.84 = 20,946.50 : x
  2. Step 2: Convert to fraction form
    53,778.50/80,667.84 = 20,946.50/x
  3. Step 3: Cross multiply
    53,778.50x = 80,667.84 × 20,946.50
  4. Step 4: Simplify right side
    53,778.50x = 1,689,708,910.56
  5. Step 5: Solve for x
    x = 1,689,708,910.56/53,778.50
  6. Step 6: Final answer
    x = 31,419.79

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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.