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Finding the Fourth Proportional to 54,144.64, 81,230.80 and 20,855.77

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Solution

The fourth proportional to 54,144.64, 81,230.80 and 20,855.77 is: 31,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144.64 : 81,230.80 = 20,855.77 : x
  2. Step 2: Convert to fraction form
    54,144.64/81,230.80 = 20,855.77/x
  3. Step 3: Cross multiply
    54,144.64x = 81,230.80 × 20,855.77
  4. Step 4: Simplify right side
    54,144.64x = 1,694,130,551.37
  5. Step 5: Solve for x
    x = 1,694,130,551.37/54,144.64
  6. Step 6: Final answer
    x = 31,288.98

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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.