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Finding the Fourth Proportional to 205,230.20, 307,189.20 and 146,181.20

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Solution

The fourth proportional to 205,230.20, 307,189.20 and 146,181.20 is: 218,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,230.20 : 307,189.20 = 146,181.20 : x
  2. Step 2: Convert to fraction form
    205,230.20/307,189.20 = 146,181.20/x
  3. Step 3: Cross multiply
    205,230.20x = 307,189.20 × 146,181.20
  4. Step 4: Simplify right side
    205,230.20x = 44,905,285,883.04
  5. Step 5: Solve for x
    x = 44,905,285,883.04/205,230.20
  6. Step 6: Final answer
    x = 218,804.47

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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.