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Finding the Fourth Proportional to 55,456, 83,134.08 and 20,388.16

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Solution

The fourth proportional to 55,456, 83,134.08 and 20,388.16 is: 30,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456 : 83,134.08 = 20,388.16 : x
  2. Step 2: Convert to fraction form
    55,456/83,134.08 = 20,388.16/x
  3. Step 3: Cross multiply
    55,456x = 83,134.08 × 20,388.16
  4. Step 4: Simplify right side
    55,456x = 1,694,950,924.49
  5. Step 5: Solve for x
    x = 1,694,950,924.49/55,456
  6. Step 6: Final answer
    x = 30,563.89

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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.