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Finding the Fourth Proportional to 54,651.64, 81,980.41 and 17,214.65

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Solution

The fourth proportional to 54,651.64, 81,980.41 and 17,214.65 is: 25,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.64 : 81,980.41 = 17,214.65 : x
  2. Step 2: Convert to fraction form
    54,651.64/81,980.41 = 17,214.65/x
  3. Step 3: Cross multiply
    54,651.64x = 81,980.41 × 17,214.65
  4. Step 4: Simplify right side
    54,651.64x = 1,411,264,065.01
  5. Step 5: Solve for x
    x = 1,411,264,065.01/54,651.64
  6. Step 6: Final answer
    x = 25,822.90

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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.