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Finding the Fourth Proportional to 53,867, 80,809.26 and 15,920.12

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Solution

The fourth proportional to 53,867, 80,809.26 and 15,920.12 is: 23,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,867 : 80,809.26 = 15,920.12 : x
  2. Step 2: Convert to fraction form
    53,867/80,809.26 = 15,920.12/x
  3. Step 3: Cross multiply
    53,867x = 80,809.26 × 15,920.12
  4. Step 4: Simplify right side
    53,867x = 1,286,493,116.31
  5. Step 5: Solve for x
    x = 1,286,493,116.31/53,867
  6. Step 6: Final answer
    x = 23,882.77

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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.