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Finding the Fourth Proportional to 31,299, 43,194.54 and 18,051

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Solution

The fourth proportional to 31,299, 43,194.54 and 18,051 is: 24,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299 : 43,194.54 = 18,051 : x
  2. Step 2: Convert to fraction form
    31,299/43,194.54 = 18,051/x
  3. Step 3: Cross multiply
    31,299x = 43,194.54 × 18,051
  4. Step 4: Simplify right side
    31,299x = 779,704,641.54
  5. Step 5: Solve for x
    x = 779,704,641.54/31,299
  6. Step 6: Final answer
    x = 24,911.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.