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Finding the Fourth Proportional to 66,801.81, 100,213.64 and 31,729.62

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Solution

The fourth proportional to 66,801.81, 100,213.64 and 31,729.62 is: 47,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,801.81 : 100,213.64 = 31,729.62 : x
  2. Step 2: Convert to fraction form
    66,801.81/100,213.64 = 31,729.62/x
  3. Step 3: Cross multiply
    66,801.81x = 100,213.64 × 31,729.62
  4. Step 4: Simplify right side
    66,801.81x = 3,179,740,716.02
  5. Step 5: Solve for x
    x = 3,179,740,716.02/66,801.81
  6. Step 6: Final answer
    x = 47,599.62

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1.5x scale

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.