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Finding the Fourth Proportional to 54,578.60, 81,911.10 and 21,314.60

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Solution

The fourth proportional to 54,578.60, 81,911.10 and 21,314.60 is: 31,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578.60 : 81,911.10 = 21,314.60 : x
  2. Step 2: Convert to fraction form
    54,578.60/81,911.10 = 21,314.60/x
  3. Step 3: Cross multiply
    54,578.60x = 81,911.10 × 21,314.60
  4. Step 4: Simplify right side
    54,578.60x = 1,745,902,332.06
  5. Step 5: Solve for x
    x = 1,745,902,332.06/54,578.60
  6. Step 6: Final answer
    x = 31,988.77

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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.