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Finding the Fourth Proportional to 53,409.92, 80,114.60 and 21,813.24

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Solution

The fourth proportional to 53,409.92, 80,114.60 and 21,813.24 is: 32,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.92 : 80,114.60 = 21,813.24 : x
  2. Step 2: Convert to fraction form
    53,409.92/80,114.60 = 21,813.24/x
  3. Step 3: Cross multiply
    53,409.92x = 80,114.60 × 21,813.24
  4. Step 4: Simplify right side
    53,409.92x = 1,747,558,997.30
  5. Step 5: Solve for x
    x = 1,747,558,997.30/53,409.92
  6. Step 6: Final answer
    x = 32,719.75

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1.5x scale

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.