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Finding the Fourth Proportional to 188,702.70, 283,382.10 and 100,129.20

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Solution

The fourth proportional to 188,702.70, 283,382.10 and 100,129.20 is: 150,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,702.70 : 283,382.10 = 100,129.20 : x
  2. Step 2: Convert to fraction form
    188,702.70/283,382.10 = 100,129.20/x
  3. Step 3: Cross multiply
    188,702.70x = 283,382.10 × 100,129.20
  4. Step 4: Simplify right side
    188,702.70x = 28,374,822,967.32
  5. Step 5: Solve for x
    x = 28,374,822,967.32/188,702.70
  6. Step 6: Final answer
    x = 150,367.87

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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.