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Finding the Fourth Proportional to 204,887.70, 307,581.15 and 130,007.70

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Solution

The fourth proportional to 204,887.70, 307,581.15 and 130,007.70 is: 195,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,887.70 : 307,581.15 = 130,007.70 : x
  2. Step 2: Convert to fraction form
    204,887.70/307,581.15 = 130,007.70/x
  3. Step 3: Cross multiply
    204,887.70x = 307,581.15 × 130,007.70
  4. Step 4: Simplify right side
    204,887.70x = 39,987,917,874.86
  5. Step 5: Solve for x
    x = 39,987,917,874.86/204,887.70
  6. Step 6: Final answer
    x = 195,169.93

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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.