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Finding the Fourth Proportional to 106,255.50, 159,357.74 and 31,355.42

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Solution

The fourth proportional to 106,255.50, 159,357.74 and 31,355.42 is: 47,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,255.50 : 159,357.74 = 31,355.42 : x
  2. Step 2: Convert to fraction form
    106,255.50/159,357.74 = 31,355.42/x
  3. Step 3: Cross multiply
    106,255.50x = 159,357.74 × 31,355.42
  4. Step 4: Simplify right side
    106,255.50x = 4,996,728,867.95
  5. Step 5: Solve for x
    x = 4,996,728,867.95/106,255.50
  6. Step 6: Final answer
    x = 47,025.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.