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Finding the Fourth Proportional to 188,978.75, 283,468.13 and 78,170.75

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Solution

The fourth proportional to 188,978.75, 283,468.13 and 78,170.75 is: 117,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978.75 : 283,468.13 = 78,170.75 : x
  2. Step 2: Convert to fraction form
    188,978.75/283,468.13 = 78,170.75/x
  3. Step 3: Cross multiply
    188,978.75x = 283,468.13 × 78,170.75
  4. Step 4: Simplify right side
    188,978.75x = 22,158,915,932.34
  5. Step 5: Solve for x
    x = 22,158,915,932.34/188,978.75
  6. Step 6: Final answer
    x = 117,256.13

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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.