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Finding the Fourth Proportional to 53,424.80, 80,072.40 and 23,811.20

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Solution

The fourth proportional to 53,424.80, 80,072.40 and 23,811.20 is: 35,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424.80 : 80,072.40 = 23,811.20 : x
  2. Step 2: Convert to fraction form
    53,424.80/80,072.40 = 23,811.20/x
  3. Step 3: Cross multiply
    53,424.80x = 80,072.40 × 23,811.20
  4. Step 4: Simplify right side
    53,424.80x = 1,906,619,930.88
  5. Step 5: Solve for x
    x = 1,906,619,930.88/53,424.80
  6. Step 6: Final answer
    x = 35,687.92

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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.