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Finding the Fourth Proportional to 54,447.45, 81,682.71 and 19,387

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Solution

The fourth proportional to 54,447.45, 81,682.71 and 19,387 is: 29,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447.45 : 81,682.71 = 19,387 : x
  2. Step 2: Convert to fraction form
    54,447.45/81,682.71 = 19,387/x
  3. Step 3: Cross multiply
    54,447.45x = 81,682.71 × 19,387
  4. Step 4: Simplify right side
    54,447.45x = 1,583,582,698.77
  5. Step 5: Solve for x
    x = 1,583,582,698.77/54,447.45
  6. Step 6: Final answer
    x = 29,084.61

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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.