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Finding the Fourth Proportional to 53,460.80, 80,198.40 and 18,411.20

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Solution

The fourth proportional to 53,460.80, 80,198.40 and 18,411.20 is: 27,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,460.80 : 80,198.40 = 18,411.20 : x
  2. Step 2: Convert to fraction form
    53,460.80/80,198.40 = 18,411.20/x
  3. Step 3: Cross multiply
    53,460.80x = 80,198.40 × 18,411.20
  4. Step 4: Simplify right side
    53,460.80x = 1,476,548,782.08
  5. Step 5: Solve for x
    x = 1,476,548,782.08/53,460.80
  6. Step 6: Final answer
    x = 27,619.28

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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.