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Finding the Fourth Proportional to 204,505.77, 306,808.38 and 69,578.82

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Solution

The fourth proportional to 204,505.77, 306,808.38 and 69,578.82 is: 104,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,505.77 : 306,808.38 = 69,578.82 : x
  2. Step 2: Convert to fraction form
    204,505.77/306,808.38 = 69,578.82/x
  3. Step 3: Cross multiply
    204,505.77x = 306,808.38 × 69,578.82
  4. Step 4: Simplify right side
    204,505.77x = 21,347,365,046.51
  5. Step 5: Solve for x
    x = 21,347,365,046.51/204,505.77
  6. Step 6: Final answer
    x = 104,385.15

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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.