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Finding the Fourth Proportional to 53,409.60, 80,107.44 and 13,969.76

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Solution

The fourth proportional to 53,409.60, 80,107.44 and 13,969.76 is: 20,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.60 : 80,107.44 = 13,969.76 : x
  2. Step 2: Convert to fraction form
    53,409.60/80,107.44 = 13,969.76/x
  3. Step 3: Cross multiply
    53,409.60x = 80,107.44 × 13,969.76
  4. Step 4: Simplify right side
    53,409.60x = 1,119,081,310.48
  5. Step 5: Solve for x
    x = 1,119,081,310.48/53,409.60
  6. Step 6: Final answer
    x = 20,952.81

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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.