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Finding the Fourth Proportional to 54,741.20, 82,111.65 and 13,188.20

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Solution

The fourth proportional to 54,741.20, 82,111.65 and 13,188.20 is: 19,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.20 : 82,111.65 = 13,188.20 : x
  2. Step 2: Convert to fraction form
    54,741.20/82,111.65 = 13,188.20/x
  3. Step 3: Cross multiply
    54,741.20x = 82,111.65 × 13,188.20
  4. Step 4: Simplify right side
    54,741.20x = 1,082,904,451.97
  5. Step 5: Solve for x
    x = 1,082,904,451.97/54,741.20
  6. Step 6: Final answer
    x = 19,782.26

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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.