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Finding the Fourth Proportional to 66,942.80, 100,414.20 and 31,950.80

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Solution

The fourth proportional to 66,942.80, 100,414.20 and 31,950.80 is: 47,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.80 : 100,414.20 = 31,950.80 : x
  2. Step 2: Convert to fraction form
    66,942.80/100,414.20 = 31,950.80/x
  3. Step 3: Cross multiply
    66,942.80x = 100,414.20 × 31,950.80
  4. Step 4: Simplify right side
    66,942.80x = 3,208,314,021.36
  5. Step 5: Solve for x
    x = 3,208,314,021.36/66,942.80
  6. Step 6: Final answer
    x = 47,926.20

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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.