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Finding the Fourth Proportional to 204,505.61, 306,832.23 and 71,405.48

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Solution

The fourth proportional to 204,505.61, 306,832.23 and 71,405.48 is: 107,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,505.61 : 306,832.23 = 71,405.48 : x
  2. Step 2: Convert to fraction form
    204,505.61/306,832.23 = 71,405.48/x
  3. Step 3: Cross multiply
    204,505.61x = 306,832.23 × 71,405.48
  4. Step 4: Simplify right side
    204,505.61x = 21,909,501,128.46
  5. Step 5: Solve for x
    x = 21,909,501,128.46/204,505.61
  6. Step 6: Final answer
    x = 107,133.99

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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.