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Finding the Fourth Proportional to 81,878.88, 122,818.30 and 36,847.60

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Solution

The fourth proportional to 81,878.88, 122,818.30 and 36,847.60 is: 55,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.88 : 122,818.30 = 36,847.60 : x
  2. Step 2: Convert to fraction form
    81,878.88/122,818.30 = 36,847.60/x
  3. Step 3: Cross multiply
    81,878.88x = 122,818.30 × 36,847.60
  4. Step 4: Simplify right side
    81,878.88x = 4,525,559,591.08
  5. Step 5: Solve for x
    x = 4,525,559,591.08/81,878.88
  6. Step 6: Final answer
    x = 55,271.39

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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.