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Finding the Fourth Proportional to 54,002.88, 81,004.32 and 17,064

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Solution

The fourth proportional to 54,002.88, 81,004.32 and 17,064 is: 25,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002.88 : 81,004.32 = 17,064 : x
  2. Step 2: Convert to fraction form
    54,002.88/81,004.32 = 17,064/x
  3. Step 3: Cross multiply
    54,002.88x = 81,004.32 × 17,064
  4. Step 4: Simplify right side
    54,002.88x = 1,382,257,716.48
  5. Step 5: Solve for x
    x = 1,382,257,716.48/54,002.88
  6. Step 6: Final answer
    x = 25,596

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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.