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Finding the Fourth Proportional to 188,930, 283,395 and 78,124.88

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Solution

The fourth proportional to 188,930, 283,395 and 78,124.88 is: 117,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,930 : 283,395 = 78,124.88 : x
  2. Step 2: Convert to fraction form
    188,930/283,395 = 78,124.88/x
  3. Step 3: Cross multiply
    188,930x = 283,395 × 78,124.88
  4. Step 4: Simplify right side
    188,930x = 22,140,200,367.60
  5. Step 5: Solve for x
    x = 22,140,200,367.60/188,930
  6. Step 6: Final answer
    x = 117,187.32

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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.