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Finding the Fourth Proportional to 53,306, 79,960.92 and 20,022.56

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Solution

The fourth proportional to 53,306, 79,960.92 and 20,022.56 is: 30,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,306 : 79,960.92 = 20,022.56 : x
  2. Step 2: Convert to fraction form
    53,306/79,960.92 = 20,022.56/x
  3. Step 3: Cross multiply
    53,306x = 79,960.92 × 20,022.56
  4. Step 4: Simplify right side
    53,306x = 1,601,022,318.36
  5. Step 5: Solve for x
    x = 1,601,022,318.36/53,306
  6. Step 6: Final answer
    x = 30,034.56

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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.