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Finding the Fourth Proportional to 205,583.62, 308,655.19 and 115,689.84

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Solution

The fourth proportional to 205,583.62, 308,655.19 and 115,689.84 is: 173,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,583.62 : 308,655.19 = 115,689.84 : x
  2. Step 2: Convert to fraction form
    205,583.62/308,655.19 = 115,689.84/x
  3. Step 3: Cross multiply
    205,583.62x = 308,655.19 × 115,689.84
  4. Step 4: Simplify right side
    205,583.62x = 35,708,269,546.27
  5. Step 5: Solve for x
    x = 35,708,269,546.27/205,583.62
  6. Step 6: Final answer
    x = 173,692.19

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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.