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Finding the Fourth Proportional to 53,489.38, 73,815.36 and 29,291.88

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Solution

The fourth proportional to 53,489.38, 73,815.36 and 29,291.88 is: 40,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.38 : 73,815.36 = 29,291.88 : x
  2. Step 2: Convert to fraction form
    53,489.38/73,815.36 = 29,291.88/x
  3. Step 3: Cross multiply
    53,489.38x = 73,815.36 × 29,291.88
  4. Step 4: Simplify right side
    53,489.38x = 2,162,190,667.28
  5. Step 5: Solve for x
    x = 2,162,190,667.28/53,489.38
  6. Step 6: Final answer
    x = 40,422.80

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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.