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Finding the Fourth Proportional to 53,694.94, 80,542.47 and 20,407.18

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Solution

The fourth proportional to 53,694.94, 80,542.47 and 20,407.18 is: 30,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.94 : 80,542.47 = 20,407.18 : x
  2. Step 2: Convert to fraction form
    53,694.94/80,542.47 = 20,407.18/x
  3. Step 3: Cross multiply
    53,694.94x = 80,542.47 × 20,407.18
  4. Step 4: Simplify right side
    53,694.94x = 1,643,644,682.93
  5. Step 5: Solve for x
    x = 1,643,644,682.93/53,694.94
  6. Step 6: Final answer
    x = 30,610.79

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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.