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Finding the Fourth Proportional to 204,756.54, 307,149.38 and 71,670.30

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Solution

The fourth proportional to 204,756.54, 307,149.38 and 71,670.30 is: 107,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,756.54 : 307,149.38 = 71,670.30 : x
  2. Step 2: Convert to fraction form
    204,756.54/307,149.38 = 71,670.30/x
  3. Step 3: Cross multiply
    204,756.54x = 307,149.38 × 71,670.30
  4. Step 4: Simplify right side
    204,756.54x = 22,013,488,209.41
  5. Step 5: Solve for x
    x = 22,013,488,209.41/204,756.54
  6. Step 6: Final answer
    x = 107,510.55

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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.