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Finding the Fourth Proportional to 204,711.99, 307,163.10 and 78,310.45

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Solution

The fourth proportional to 204,711.99, 307,163.10 and 78,310.45 is: 117,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,711.99 : 307,163.10 = 78,310.45 : x
  2. Step 2: Convert to fraction form
    204,711.99/307,163.10 = 78,310.45/x
  3. Step 3: Cross multiply
    204,711.99x = 307,163.10 × 78,310.45
  4. Step 4: Simplify right side
    204,711.99x = 24,054,080,192.84
  5. Step 5: Solve for x
    x = 24,054,080,192.84/204,711.99
  6. Step 6: Final answer
    x = 117,502.06

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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.