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Finding the Fourth Proportional to 55,478.40, 83,163.60 and 31,761.60

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Solution

The fourth proportional to 55,478.40, 83,163.60 and 31,761.60 is: 47,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478.40 : 83,163.60 = 31,761.60 : x
  2. Step 2: Convert to fraction form
    55,478.40/83,163.60 = 31,761.60/x
  3. Step 3: Cross multiply
    55,478.40x = 83,163.60 × 31,761.60
  4. Step 4: Simplify right side
    55,478.40x = 2,641,408,997.76
  5. Step 5: Solve for x
    x = 2,641,408,997.76/55,478.40
  6. Step 6: Final answer
    x = 47,611.48

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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.