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Finding the Fourth Proportional to 205,145.20, 307,134.60 and 205,145.20

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Solution

The fourth proportional to 205,145.20, 307,134.60 and 205,145.20 is: 307,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,145.20 : 307,134.60 = 205,145.20 : x
  2. Step 2: Convert to fraction form
    205,145.20/307,134.60 = 205,145.20/x
  3. Step 3: Cross multiply
    205,145.20x = 307,134.60 × 205,145.20
  4. Step 4: Simplify right side
    205,145.20x = 63,007,188,943.92
  5. Step 5: Solve for x
    x = 63,007,188,943.92/205,145.20
  6. Step 6: Final answer
    x = 307,134.60

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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.