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Finding the Fourth Proportional to 42,857.64, 64,233 and 33,033.96

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Solution

The fourth proportional to 42,857.64, 64,233 and 33,033.96 is: 49,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.64 : 64,233 = 33,033.96 : x
  2. Step 2: Convert to fraction form
    42,857.64/64,233 = 33,033.96/x
  3. Step 3: Cross multiply
    42,857.64x = 64,233 × 33,033.96
  4. Step 4: Simplify right side
    42,857.64x = 2,121,870,352.68
  5. Step 5: Solve for x
    x = 2,121,870,352.68/42,857.64
  6. Step 6: Final answer
    x = 49,509.73

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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.