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Finding the Fourth Proportional to 123,722.92, 185,493.50 and 39,434.60

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Solution

The fourth proportional to 123,722.92, 185,493.50 and 39,434.60 is: 59,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722.92 : 185,493.50 = 39,434.60 : x
  2. Step 2: Convert to fraction form
    123,722.92/185,493.50 = 39,434.60/x
  3. Step 3: Cross multiply
    123,722.92x = 185,493.50 × 39,434.60
  4. Step 4: Simplify right side
    123,722.92x = 7,314,861,975.10
  5. Step 5: Solve for x
    x = 7,314,861,975.10/123,722.92
  6. Step 6: Final answer
    x = 59,122.93

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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.