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Finding the Fourth Proportional to 205,101.20, 307,651.80 and 189,354.80

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Solution

The fourth proportional to 205,101.20, 307,651.80 and 189,354.80 is: 284,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.20 : 307,651.80 = 189,354.80 : x
  2. Step 2: Convert to fraction form
    205,101.20/307,651.80 = 189,354.80/x
  3. Step 3: Cross multiply
    205,101.20x = 307,651.80 × 189,354.80
  4. Step 4: Simplify right side
    205,101.20x = 58,255,345,058.64
  5. Step 5: Solve for x
    x = 58,255,345,058.64/205,101.20
  6. Step 6: Final answer
    x = 284,032.20

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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.