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Finding the Fourth Proportional to 205,544.80, 308,317.20 and 134,581.60

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Solution

The fourth proportional to 205,544.80, 308,317.20 and 134,581.60 is: 201,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,544.80 : 308,317.20 = 134,581.60 : x
  2. Step 2: Convert to fraction form
    205,544.80/308,317.20 = 134,581.60/x
  3. Step 3: Cross multiply
    205,544.80x = 308,317.20 × 134,581.60
  4. Step 4: Simplify right side
    205,544.80x = 41,493,822,083.52
  5. Step 5: Solve for x
    x = 41,493,822,083.52/205,544.80
  6. Step 6: Final answer
    x = 201,872.40

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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.