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Finding the Fourth Proportional to 54,677.81, 82,016.71 and 13,124.81

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Solution

The fourth proportional to 54,677.81, 82,016.71 and 13,124.81 is: 19,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677.81 : 82,016.71 = 13,124.81 : x
  2. Step 2: Convert to fraction form
    54,677.81/82,016.71 = 13,124.81/x
  3. Step 3: Cross multiply
    54,677.81x = 82,016.71 × 13,124.81
  4. Step 4: Simplify right side
    54,677.81x = 1,076,453,292.68
  5. Step 5: Solve for x
    x = 1,076,453,292.68/54,677.81
  6. Step 6: Final answer
    x = 19,687.21

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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.