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Finding the Fourth Proportional to 54,585, 81,890.46 and 17,649

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Solution

The fourth proportional to 54,585, 81,890.46 and 17,649 is: 26,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585 : 81,890.46 = 17,649 : x
  2. Step 2: Convert to fraction form
    54,585/81,890.46 = 17,649/x
  3. Step 3: Cross multiply
    54,585x = 81,890.46 × 17,649
  4. Step 4: Simplify right side
    54,585x = 1,445,284,728.54
  5. Step 5: Solve for x
    x = 1,445,284,728.54/54,585
  6. Step 6: Final answer
    x = 26,477.69

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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.