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Finding the Fourth Proportional to 81,866.88, 122,847.71 and 34,478.64

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Solution

The fourth proportional to 81,866.88, 122,847.71 and 34,478.64 is: 51,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.88 : 122,847.71 = 34,478.64 : x
  2. Step 2: Convert to fraction form
    81,866.88/122,847.71 = 34,478.64/x
  3. Step 3: Cross multiply
    81,866.88x = 122,847.71 × 34,478.64
  4. Step 4: Simplify right side
    81,866.88x = 4,235,621,795.52
  5. Step 5: Solve for x
    x = 4,235,621,795.52/81,866.88
  6. Step 6: Final answer
    x = 51,737.92

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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.