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Finding the Fourth Proportional to 221,047.30, 331,323.10 and 87,891.82

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Solution

The fourth proportional to 221,047.30, 331,323.10 and 87,891.82 is: 131,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,047.30 : 331,323.10 = 87,891.82 : x
  2. Step 2: Convert to fraction form
    221,047.30/331,323.10 = 87,891.82/x
  3. Step 3: Cross multiply
    221,047.30x = 331,323.10 × 87,891.82
  4. Step 4: Simplify right side
    221,047.30x = 29,120,590,267.04
  5. Step 5: Solve for x
    x = 29,120,590,267.04/221,047.30
  6. Step 6: Final answer
    x = 131,739.18

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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.