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Finding the Fourth Proportional to 188,750, 283,168.78 and 64,091

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Solution

The fourth proportional to 188,750, 283,168.78 and 64,091 is: 96,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,750 : 283,168.78 = 64,091 : x
  2. Step 2: Convert to fraction form
    188,750/283,168.78 = 64,091/x
  3. Step 3: Cross multiply
    188,750x = 283,168.78 × 64,091
  4. Step 4: Simplify right side
    188,750x = 18,148,570,278.98
  5. Step 5: Solve for x
    x = 18,148,570,278.98/188,750
  6. Step 6: Final answer
    x = 96,151.37

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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.