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Finding the Fourth Proportional to 54,887.78, 82,331.73 and 13,334.78

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Solution

The fourth proportional to 54,887.78, 82,331.73 and 13,334.78 is: 20,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,887.78 : 82,331.73 = 13,334.78 : x
  2. Step 2: Convert to fraction form
    54,887.78/82,331.73 = 13,334.78/x
  3. Step 3: Cross multiply
    54,887.78x = 82,331.73 × 13,334.78
  4. Step 4: Simplify right side
    54,887.78x = 1,097,875,506.57
  5. Step 5: Solve for x
    x = 1,097,875,506.57/54,887.78
  6. Step 6: Final answer
    x = 20,002.18

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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.