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Finding the Fourth Proportional to 188,976.64, 283,499.84 and 78,177.28

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Solution

The fourth proportional to 188,976.64, 283,499.84 and 78,177.28 is: 117,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,976.64 : 283,499.84 = 78,177.28 : x
  2. Step 2: Convert to fraction form
    188,976.64/283,499.84 = 78,177.28/x
  3. Step 3: Cross multiply
    188,976.64x = 283,499.84 × 78,177.28
  4. Step 4: Simplify right side
    188,976.64x = 22,163,246,371.64
  5. Step 5: Solve for x
    x = 22,163,246,371.64/188,976.64
  6. Step 6: Final answer
    x = 117,280.35

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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.