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Finding the Fourth Proportional to 54,491, 81,736.50 and 17,555

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Solution

The fourth proportional to 54,491, 81,736.50 and 17,555 is: 26,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491 : 81,736.50 = 17,555 : x
  2. Step 2: Convert to fraction form
    54,491/81,736.50 = 17,555/x
  3. Step 3: Cross multiply
    54,491x = 81,736.50 × 17,555
  4. Step 4: Simplify right side
    54,491x = 1,434,884,257.50
  5. Step 5: Solve for x
    x = 1,434,884,257.50/54,491
  6. Step 6: Final answer
    x = 26,332.50

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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.