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Finding the Fourth Proportional to 55,993.70, 77,271.30 and 30,843.20

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Solution

The fourth proportional to 55,993.70, 77,271.30 and 30,843.20 is: 42,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,993.70 : 77,271.30 = 30,843.20 : x
  2. Step 2: Convert to fraction form
    55,993.70/77,271.30 = 30,843.20/x
  3. Step 3: Cross multiply
    55,993.70x = 77,271.30 × 30,843.20
  4. Step 4: Simplify right side
    55,993.70x = 2,383,294,160.16
  5. Step 5: Solve for x
    x = 2,383,294,160.16/55,993.70
  6. Step 6: Final answer
    x = 42,563.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.