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Finding the Fourth Proportional to 53,809.60, 80,703.60 and 25,729.60

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Solution

The fourth proportional to 53,809.60, 80,703.60 and 25,729.60 is: 38,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809.60 : 80,703.60 = 25,729.60 : x
  2. Step 2: Convert to fraction form
    53,809.60/80,703.60 = 25,729.60/x
  3. Step 3: Cross multiply
    53,809.60x = 80,703.60 × 25,729.60
  4. Step 4: Simplify right side
    53,809.60x = 2,076,471,346.56
  5. Step 5: Solve for x
    x = 2,076,471,346.56/53,809.60
  6. Step 6: Final answer
    x = 38,589.24

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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.