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Finding the Fourth Proportional to 221,460, 332,322.84 and 81,232.80

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Solution

The fourth proportional to 221,460, 332,322.84 and 81,232.80 is: 121,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460 : 332,322.84 = 81,232.80 : x
  2. Step 2: Convert to fraction form
    221,460/332,322.84 = 81,232.80/x
  3. Step 3: Cross multiply
    221,460x = 332,322.84 × 81,232.80
  4. Step 4: Simplify right side
    221,460x = 26,995,514,797.15
  5. Step 5: Solve for x
    x = 26,995,514,797.15/221,460
  6. Step 6: Final answer
    x = 121,897.93

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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.