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Finding the Fourth Proportional to 70,123.73, 105,120.59 and 27,993.60

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Solution

The fourth proportional to 70,123.73, 105,120.59 and 27,993.60 is: 41,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,123.73 : 105,120.59 = 27,993.60 : x
  2. Step 2: Convert to fraction form
    70,123.73/105,120.59 = 27,993.60/x
  3. Step 3: Cross multiply
    70,123.73x = 105,120.59 × 27,993.60
  4. Step 4: Simplify right side
    70,123.73x = 2,942,703,608.26
  5. Step 5: Solve for x
    x = 2,942,703,608.26/70,123.73
  6. Step 6: Final answer
    x = 41,964.45

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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.