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Finding the Fourth Proportional to 205,399.80, 307,581.30 and 134,897.40

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Solution

The fourth proportional to 205,399.80, 307,581.30 and 134,897.40 is: 202,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,399.80 : 307,581.30 = 134,897.40 : x
  2. Step 2: Convert to fraction form
    205,399.80/307,581.30 = 134,897.40/x
  3. Step 3: Cross multiply
    205,399.80x = 307,581.30 × 134,897.40
  4. Step 4: Simplify right side
    205,399.80x = 41,491,917,658.62
  5. Step 5: Solve for x
    x = 41,491,917,658.62/205,399.80
  6. Step 6: Final answer
    x = 202,005.64

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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.