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Finding the Fourth Proportional to 188,976, 283,507.74 and 64,317

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Solution

The fourth proportional to 188,976, 283,507.74 and 64,317 is: 96,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,976 : 283,507.74 = 64,317 : x
  2. Step 2: Convert to fraction form
    188,976/283,507.74 = 64,317/x
  3. Step 3: Cross multiply
    188,976x = 283,507.74 × 64,317
  4. Step 4: Simplify right side
    188,976x = 18,234,367,313.58
  5. Step 5: Solve for x
    x = 18,234,367,313.58/188,976
  6. Step 6: Final answer
    x = 96,490.39

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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.