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Finding the Fourth Proportional to 54,639.18, 81,978.48 and 19,105.70

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Solution

The fourth proportional to 54,639.18, 81,978.48 and 19,105.70 is: 28,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,639.18 : 81,978.48 = 19,105.70 : x
  2. Step 2: Convert to fraction form
    54,639.18/81,978.48 = 19,105.70/x
  3. Step 3: Cross multiply
    54,639.18x = 81,978.48 × 19,105.70
  4. Step 4: Simplify right side
    54,639.18x = 1,566,255,835.44
  5. Step 5: Solve for x
    x = 1,566,255,835.44/54,639.18
  6. Step 6: Final answer
    x = 28,665.43

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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.