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Finding the Fourth Proportional to 54,434, 81,651.06 and 21,602

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Solution

The fourth proportional to 54,434, 81,651.06 and 21,602 is: 32,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,434 : 81,651.06 = 21,602 : x
  2. Step 2: Convert to fraction form
    54,434/81,651.06 = 21,602/x
  3. Step 3: Cross multiply
    54,434x = 81,651.06 × 21,602
  4. Step 4: Simplify right side
    54,434x = 1,763,826,198.12
  5. Step 5: Solve for x
    x = 1,763,826,198.12/54,434
  6. Step 6: Final answer
    x = 32,403.02

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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.