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Finding the Fourth Proportional to 55,419, 83,128.50 and 22,153.92

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Solution

The fourth proportional to 55,419, 83,128.50 and 22,153.92 is: 33,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,419 : 83,128.50 = 22,153.92 : x
  2. Step 2: Convert to fraction form
    55,419/83,128.50 = 22,153.92/x
  3. Step 3: Cross multiply
    55,419x = 83,128.50 × 22,153.92
  4. Step 4: Simplify right side
    55,419x = 1,841,622,138.72
  5. Step 5: Solve for x
    x = 1,841,622,138.72/55,419
  6. Step 6: Final answer
    x = 33,230.88

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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.