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Finding the Fourth Proportional to 54,843, 82,264.51 and 19,782.65

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Solution

The fourth proportional to 54,843, 82,264.51 and 19,782.65 is: 29,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843 : 82,264.51 = 19,782.65 : x
  2. Step 2: Convert to fraction form
    54,843/82,264.51 = 19,782.65/x
  3. Step 3: Cross multiply
    54,843x = 82,264.51 × 19,782.65
  4. Step 4: Simplify right side
    54,843x = 1,627,410,263.87
  5. Step 5: Solve for x
    x = 1,627,410,263.87/54,843
  6. Step 6: Final answer
    x = 29,673.98

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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.