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Finding the Fourth Proportional to 54,945, 82,410.12 and 15,505.28

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Solution

The fourth proportional to 54,945, 82,410.12 and 15,505.28 is: 23,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945 : 82,410.12 = 15,505.28 : x
  2. Step 2: Convert to fraction form
    54,945/82,410.12 = 15,505.28/x
  3. Step 3: Cross multiply
    54,945x = 82,410.12 × 15,505.28
  4. Step 4: Simplify right side
    54,945x = 1,277,791,985.43
  5. Step 5: Solve for x
    x = 1,277,791,985.43/54,945
  6. Step 6: Final answer
    x = 23,255.84

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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.