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Finding the Fourth Proportional to 54,983.59, 82,519.12 and 21,712.03

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Solution

The fourth proportional to 54,983.59, 82,519.12 and 21,712.03 is: 32,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,983.59 : 82,519.12 = 21,712.03 : x
  2. Step 2: Convert to fraction form
    54,983.59/82,519.12 = 21,712.03/x
  3. Step 3: Cross multiply
    54,983.59x = 82,519.12 × 21,712.03
  4. Step 4: Simplify right side
    54,983.59x = 1,791,657,609.01
  5. Step 5: Solve for x
    x = 1,791,657,609.01/54,983.59
  6. Step 6: Final answer
    x = 32,585.32

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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.