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Finding the Fourth Proportional to 205,500.20, 287,078.20 and 205,500.20

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Solution

The fourth proportional to 205,500.20, 287,078.20 and 205,500.20 is: 287,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500.20 : 287,078.20 = 205,500.20 : x
  2. Step 2: Convert to fraction form
    205,500.20/287,078.20 = 205,500.20/x
  3. Step 3: Cross multiply
    205,500.20x = 287,078.20 × 205,500.20
  4. Step 4: Simplify right side
    205,500.20x = 58,994,627,515.64
  5. Step 5: Solve for x
    x = 58,994,627,515.64/205,500.20
  6. Step 6: Final answer
    x = 287,078.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.