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Finding the Fourth Proportional to 54,761.47, 82,142.21 and 21,497.20

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Solution

The fourth proportional to 54,761.47, 82,142.21 and 21,497.20 is: 32,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.47 : 82,142.21 = 21,497.20 : x
  2. Step 2: Convert to fraction form
    54,761.47/82,142.21 = 21,497.20/x
  3. Step 3: Cross multiply
    54,761.47x = 82,142.21 × 21,497.20
  4. Step 4: Simplify right side
    54,761.47x = 1,765,827,516.81
  5. Step 5: Solve for x
    x = 1,765,827,516.81/54,761.47
  6. Step 6: Final answer
    x = 32,245.80

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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.