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Finding the Fourth Proportional to 66,803.80, 100,205.70 and 31,811.80

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Solution

The fourth proportional to 66,803.80, 100,205.70 and 31,811.80 is: 47,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,803.80 : 100,205.70 = 31,811.80 : x
  2. Step 2: Convert to fraction form
    66,803.80/100,205.70 = 31,811.80/x
  3. Step 3: Cross multiply
    66,803.80x = 100,205.70 × 31,811.80
  4. Step 4: Simplify right side
    66,803.80x = 3,187,723,687.26
  5. Step 5: Solve for x
    x = 3,187,723,687.26/66,803.80
  6. Step 6: Final answer
    x = 47,717.70

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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.