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Finding the Fourth Proportional to 54,825.80, 82,238.70 and 13,272.80

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Solution

The fourth proportional to 54,825.80, 82,238.70 and 13,272.80 is: 19,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825.80 : 82,238.70 = 13,272.80 : x
  2. Step 2: Convert to fraction form
    54,825.80/82,238.70 = 13,272.80/x
  3. Step 3: Cross multiply
    54,825.80x = 82,238.70 × 13,272.80
  4. Step 4: Simplify right side
    54,825.80x = 1,091,537,817.36
  5. Step 5: Solve for x
    x = 1,091,537,817.36/54,825.80
  6. Step 6: Final answer
    x = 19,909.20

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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.