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Finding the Fourth Proportional to 147,469, 221,204.31 and 36,661

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Solution

The fourth proportional to 147,469, 221,204.31 and 36,661 is: 54,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,469 : 221,204.31 = 36,661 : x
  2. Step 2: Convert to fraction form
    147,469/221,204.31 = 36,661/x
  3. Step 3: Cross multiply
    147,469x = 221,204.31 × 36,661
  4. Step 4: Simplify right side
    147,469x = 8,109,571,208.91
  5. Step 5: Solve for x
    x = 8,109,571,208.91/147,469
  6. Step 6: Final answer
    x = 54,991.70

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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.