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Finding the Fourth Proportional to 54,941.40, 82,401.30 and 18,005.40

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Solution

The fourth proportional to 54,941.40, 82,401.30 and 18,005.40 is: 27,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,941.40 : 82,401.30 = 18,005.40 : x
  2. Step 2: Convert to fraction form
    54,941.40/82,401.30 = 18,005.40/x
  3. Step 3: Cross multiply
    54,941.40x = 82,401.30 × 18,005.40
  4. Step 4: Simplify right side
    54,941.40x = 1,483,668,367.02
  5. Step 5: Solve for x
    x = 1,483,668,367.02/54,941.40
  6. Step 6: Final answer
    x = 27,004.56

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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.