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Finding the Fourth Proportional to 54,135, 81,203.70 and 18,596.28

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Solution

The fourth proportional to 54,135, 81,203.70 and 18,596.28 is: 27,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,135 : 81,203.70 = 18,596.28 : x
  2. Step 2: Convert to fraction form
    54,135/81,203.70 = 18,596.28/x
  3. Step 3: Cross multiply
    54,135x = 81,203.70 × 18,596.28
  4. Step 4: Simplify right side
    54,135x = 1,510,086,742.24
  5. Step 5: Solve for x
    x = 1,510,086,742.24/54,135
  6. Step 6: Final answer
    x = 27,894.83

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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.