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Finding the Fourth Proportional to 204,985.96, 307,615.74 and 71,866.12

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Solution

The fourth proportional to 204,985.96, 307,615.74 and 71,866.12 is: 107,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,985.96 : 307,615.74 = 71,866.12 : x
  2. Step 2: Convert to fraction form
    204,985.96/307,615.74 = 71,866.12/x
  3. Step 3: Cross multiply
    204,985.96x = 307,615.74 × 71,866.12
  4. Step 4: Simplify right side
    204,985.96x = 22,107,149,684.73
  5. Step 5: Solve for x
    x = 22,107,149,684.73/204,985.96
  6. Step 6: Final answer
    x = 107,847.14

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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.