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Finding the Fourth Proportional to 188,976.75, 283,465.13 and 78,168.75

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Solution

The fourth proportional to 188,976.75, 283,465.13 and 78,168.75 is: 117,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,976.75 : 283,465.13 = 78,168.75 : x
  2. Step 2: Convert to fraction form
    188,976.75/283,465.13 = 78,168.75/x
  3. Step 3: Cross multiply
    188,976.75x = 283,465.13 × 78,168.75
  4. Step 4: Simplify right side
    188,976.75x = 22,158,114,489.84
  5. Step 5: Solve for x
    x = 22,158,114,489.84/188,976.75
  6. Step 6: Final answer
    x = 117,253.13

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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.