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Finding the Fourth Proportional to 54,723.19, 82,084.80 and 13,170.19

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Solution

The fourth proportional to 54,723.19, 82,084.80 and 13,170.19 is: 19,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,723.19 : 82,084.80 = 13,170.19 : x
  2. Step 2: Convert to fraction form
    54,723.19/82,084.80 = 13,170.19/x
  3. Step 3: Cross multiply
    54,723.19x = 82,084.80 × 13,170.19
  4. Step 4: Simplify right side
    54,723.19x = 1,081,072,412.11
  5. Step 5: Solve for x
    x = 1,081,072,412.11/54,723.19
  6. Step 6: Final answer
    x = 19,755.29

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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.