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Finding the Fourth Proportional to 53,812.68, 80,742.24 and 20,542.74

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Solution

The fourth proportional to 53,812.68, 80,742.24 and 20,542.74 is: 30,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.68 : 80,742.24 = 20,542.74 : x
  2. Step 2: Convert to fraction form
    53,812.68/80,742.24 = 20,542.74/x
  3. Step 3: Cross multiply
    53,812.68x = 80,742.24 × 20,542.74
  4. Step 4: Simplify right side
    53,812.68x = 1,658,666,843.34
  5. Step 5: Solve for x
    x = 1,658,666,843.34/53,812.68
  6. Step 6: Final answer
    x = 30,822.97

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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.