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Finding the Fourth Proportional to 54,783.55, 82,185.98 and 21,047.11

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Solution

The fourth proportional to 54,783.55, 82,185.98 and 21,047.11 is: 31,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783.55 : 82,185.98 = 21,047.11 : x
  2. Step 2: Convert to fraction form
    54,783.55/82,185.98 = 21,047.11/x
  3. Step 3: Cross multiply
    54,783.55x = 82,185.98 × 21,047.11
  4. Step 4: Simplify right side
    54,783.55x = 1,729,777,361.52
  5. Step 5: Solve for x
    x = 1,729,777,361.52/54,783.55
  6. Step 6: Final answer
    x = 31,574.76

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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.