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Finding the Fourth Proportional to 54,428.34, 81,623.01 and 19,361.01

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Solution

The fourth proportional to 54,428.34, 81,623.01 and 19,361.01 is: 29,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428.34 : 81,623.01 = 19,361.01 : x
  2. Step 2: Convert to fraction form
    54,428.34/81,623.01 = 19,361.01/x
  3. Step 3: Cross multiply
    54,428.34x = 81,623.01 × 19,361.01
  4. Step 4: Simplify right side
    54,428.34x = 1,580,303,912.84
  5. Step 5: Solve for x
    x = 1,580,303,912.84/54,428.34
  6. Step 6: Final answer
    x = 29,034.58

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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.