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Finding the Fourth Proportional to 123,803.43, 185,635.44 and 39,543.80

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Solution

The fourth proportional to 123,803.43, 185,635.44 and 39,543.80 is: 59,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.43 : 185,635.44 = 39,543.80 : x
  2. Step 2: Convert to fraction form
    123,803.43/185,635.44 = 39,543.80/x
  3. Step 3: Cross multiply
    123,803.43x = 185,635.44 × 39,543.80
  4. Step 4: Simplify right side
    123,803.43x = 7,340,729,784.09
  5. Step 5: Solve for x
    x = 7,340,729,784.09/123,803.43
  6. Step 6: Final answer
    x = 59,293.43

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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.