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Finding the Fourth Proportional to 53,708.59, 80,562.92 and 20,420.97

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Solution

The fourth proportional to 53,708.59, 80,562.92 and 20,420.97 is: 30,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,708.59 : 80,562.92 = 20,420.97 : x
  2. Step 2: Convert to fraction form
    53,708.59/80,562.92 = 20,420.97/x
  3. Step 3: Cross multiply
    53,708.59x = 80,562.92 × 20,420.97
  4. Step 4: Simplify right side
    53,708.59x = 1,645,172,972.43
  5. Step 5: Solve for x
    x = 1,645,172,972.43/53,708.59
  6. Step 6: Final answer
    x = 30,631.47

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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.