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Finding the Fourth Proportional to 204,711.61, 307,162.53 and 78,310.08

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Solution

The fourth proportional to 204,711.61, 307,162.53 and 78,310.08 is: 117,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,711.61 : 307,162.53 = 78,310.08 : x
  2. Step 2: Convert to fraction form
    204,711.61/307,162.53 = 78,310.08/x
  3. Step 3: Cross multiply
    204,711.61x = 307,162.53 × 78,310.08
  4. Step 4: Simplify right side
    204,711.61x = 24,053,922,297.30
  5. Step 5: Solve for x
    x = 24,053,922,297.30/204,711.61
  6. Step 6: Final answer
    x = 117,501.51

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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.