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Finding the Fourth Proportional to 204,953.40, 307,284.30 and 78,544.80

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Solution

The fourth proportional to 204,953.40, 307,284.30 and 78,544.80 is: 117,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953.40 : 307,284.30 = 78,544.80 : x
  2. Step 2: Convert to fraction form
    204,953.40/307,284.30 = 78,544.80/x
  3. Step 3: Cross multiply
    204,953.40x = 307,284.30 × 78,544.80
  4. Step 4: Simplify right side
    204,953.40x = 24,135,583,886.64
  5. Step 5: Solve for x
    x = 24,135,583,886.64/204,953.40
  6. Step 6: Final answer
    x = 117,761.32

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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.