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Finding the Fourth Proportional to 54,804.27, 82,157.05 and 19,719.25

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Solution

The fourth proportional to 54,804.27, 82,157.05 and 19,719.25 is: 29,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.27 : 82,157.05 = 19,719.25 : x
  2. Step 2: Convert to fraction form
    54,804.27/82,157.05 = 19,719.25/x
  3. Step 3: Cross multiply
    54,804.27x = 82,157.05 × 19,719.25
  4. Step 4: Simplify right side
    54,804.27x = 1,620,075,408.21
  5. Step 5: Solve for x
    x = 1,620,075,408.21/54,804.27
  6. Step 6: Final answer
    x = 29,561.12

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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.