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Finding the Fourth Proportional to 54,640, 81,972.96 and 17,704

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Solution

The fourth proportional to 54,640, 81,972.96 and 17,704 is: 26,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640 : 81,972.96 = 17,704 : x
  2. Step 2: Convert to fraction form
    54,640/81,972.96 = 17,704/x
  3. Step 3: Cross multiply
    54,640x = 81,972.96 × 17,704
  4. Step 4: Simplify right side
    54,640x = 1,451,249,283.84
  5. Step 5: Solve for x
    x = 1,451,249,283.84/54,640
  6. Step 6: Final answer
    x = 26,560.20

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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.