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Finding the Fourth Proportional to 54,438, 81,662.15 and 21,160.64

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Solution

The fourth proportional to 54,438, 81,662.15 and 21,160.64 is: 31,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438 : 81,662.15 = 21,160.64 : x
  2. Step 2: Convert to fraction form
    54,438/81,662.15 = 21,160.64/x
  3. Step 3: Cross multiply
    54,438x = 81,662.15 × 21,160.64
  4. Step 4: Simplify right side
    54,438x = 1,728,023,002.37
  5. Step 5: Solve for x
    x = 1,728,023,002.37/54,438
  6. Step 6: Final answer
    x = 31,742.96

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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.