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Finding the Fourth Proportional to 205,022, 307,584.86 and 57,278

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Solution

The fourth proportional to 205,022, 307,584.86 and 57,278 is: 85,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,022 : 307,584.86 = 57,278 : x
  2. Step 2: Convert to fraction form
    205,022/307,584.86 = 57,278/x
  3. Step 3: Cross multiply
    205,022x = 307,584.86 × 57,278
  4. Step 4: Simplify right side
    205,022x = 17,617,845,611.08
  5. Step 5: Solve for x
    x = 17,617,845,611.08/205,022
  6. Step 6: Final answer
    x = 85,931.49

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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.