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Finding the Fourth Proportional to 103,441.75, 155,069.02 and 71,866.60

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Solution

The fourth proportional to 103,441.75, 155,069.02 and 71,866.60 is: 107,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,441.75 : 155,069.02 = 71,866.60 : x
  2. Step 2: Convert to fraction form
    103,441.75/155,069.02 = 71,866.60/x
  3. Step 3: Cross multiply
    103,441.75x = 155,069.02 × 71,866.60
  4. Step 4: Simplify right side
    103,441.75x = 11,144,283,232.73
  5. Step 5: Solve for x
    x = 11,144,283,232.73/103,441.75
  6. Step 6: Final answer
    x = 107,734.87

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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.