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Finding the Fourth Proportional to 54,138.64, 81,242.52 and 20,885.52

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Solution

The fourth proportional to 54,138.64, 81,242.52 and 20,885.52 is: 31,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.64 : 81,242.52 = 20,885.52 : x
  2. Step 2: Convert to fraction form
    54,138.64/81,242.52 = 20,885.52/x
  3. Step 3: Cross multiply
    54,138.64x = 81,242.52 × 20,885.52
  4. Step 4: Simplify right side
    54,138.64x = 1,696,792,276.31
  5. Step 5: Solve for x
    x = 1,696,792,276.31/54,138.64
  6. Step 6: Final answer
    x = 31,341.61

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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.