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Finding the Fourth Proportional to 53,530.80, 80,212.80 and 20,232.70

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Solution

The fourth proportional to 53,530.80, 80,212.80 and 20,232.70 is: 30,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,530.80 : 80,212.80 = 20,232.70 : x
  2. Step 2: Convert to fraction form
    53,530.80/80,212.80 = 20,232.70/x
  3. Step 3: Cross multiply
    53,530.80x = 80,212.80 × 20,232.70
  4. Step 4: Simplify right side
    53,530.80x = 1,622,921,518.56
  5. Step 5: Solve for x
    x = 1,622,921,518.56/53,530.80
  6. Step 6: Final answer
    x = 30,317.53

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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.