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Finding the Fourth Proportional to 55,203.30, 82,782.24 and 21,918.78

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Solution

The fourth proportional to 55,203.30, 82,782.24 and 21,918.78 is: 32,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.30 : 82,782.24 = 21,918.78 : x
  2. Step 2: Convert to fraction form
    55,203.30/82,782.24 = 21,918.78/x
  3. Step 3: Cross multiply
    55,203.30x = 82,782.24 × 21,918.78
  4. Step 4: Simplify right side
    55,203.30x = 1,814,485,706.47
  5. Step 5: Solve for x
    x = 1,814,485,706.47/55,203.30
  6. Step 6: Final answer
    x = 32,869.15

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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.