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Finding the Fourth Proportional to 66,954.74, 100,343.95 and 31,410.52

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Solution

The fourth proportional to 66,954.74, 100,343.95 and 31,410.52 is: 47,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,954.74 : 100,343.95 = 31,410.52 : x
  2. Step 2: Convert to fraction form
    66,954.74/100,343.95 = 31,410.52/x
  3. Step 3: Cross multiply
    66,954.74x = 100,343.95 × 31,410.52
  4. Step 4: Simplify right side
    66,954.74x = 3,151,855,318.97
  5. Step 5: Solve for x
    x = 3,151,855,318.97/66,954.74
  6. Step 6: Final answer
    x = 47,074.42

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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.