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Finding the Fourth Proportional to 81,677.88, 122,548.50 and 31,793.01

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Solution

The fourth proportional to 81,677.88, 122,548.50 and 31,793.01 is: 47,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,677.88 : 122,548.50 = 31,793.01 : x
  2. Step 2: Convert to fraction form
    81,677.88/122,548.50 = 31,793.01/x
  3. Step 3: Cross multiply
    81,677.88x = 122,548.50 × 31,793.01
  4. Step 4: Simplify right side
    81,677.88x = 3,896,185,685.99
  5. Step 5: Solve for x
    x = 3,896,185,685.99/81,677.88
  6. Step 6: Final answer
    x = 47,701.85

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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.