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Finding the Fourth Proportional to 205,880.10, 308,834.55 and 81,204.90

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Solution

The fourth proportional to 205,880.10, 308,834.55 and 81,204.90 is: 121,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,880.10 : 308,834.55 = 81,204.90 : x
  2. Step 2: Convert to fraction form
    205,880.10/308,834.55 = 81,204.90/x
  3. Step 3: Cross multiply
    205,880.10x = 308,834.55 × 81,204.90
  4. Step 4: Simplify right side
    205,880.10x = 25,078,878,749.30
  5. Step 5: Solve for x
    x = 25,078,878,749.30/205,880.10
  6. Step 6: Final answer
    x = 121,813.03

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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.