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Finding the Fourth Proportional to 204,509.75, 306,904.76 and 71,390.03

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Solution

The fourth proportional to 204,509.75, 306,904.76 and 71,390.03 is: 107,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509.75 : 306,904.76 = 71,390.03 : x
  2. Step 2: Convert to fraction form
    204,509.75/306,904.76 = 71,390.03/x
  3. Step 3: Cross multiply
    204,509.75x = 306,904.76 × 71,390.03
  4. Step 4: Simplify right side
    204,509.75x = 21,909,940,969.28
  5. Step 5: Solve for x
    x = 21,909,940,969.28/204,509.75
  6. Step 6: Final answer
    x = 107,133.97

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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.