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Finding the Fourth Proportional to 188,928, 283,392 and 78,122.88

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Solution

The fourth proportional to 188,928, 283,392 and 78,122.88 is: 117,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,928 : 283,392 = 78,122.88 : x
  2. Step 2: Convert to fraction form
    188,928/283,392 = 78,122.88/x
  3. Step 3: Cross multiply
    188,928x = 283,392 × 78,122.88
  4. Step 4: Simplify right side
    188,928x = 22,139,399,208.96
  5. Step 5: Solve for x
    x = 22,139,399,208.96/188,928
  6. Step 6: Final answer
    x = 117,184.32

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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.