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Finding the Fourth Proportional to 85,264.78, 117,674.16 and 54,241.54

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Solution

The fourth proportional to 85,264.78, 117,674.16 and 54,241.54 is: 74,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,264.78 : 117,674.16 = 54,241.54 : x
  2. Step 2: Convert to fraction form
    85,264.78/117,674.16 = 54,241.54/x
  3. Step 3: Cross multiply
    85,264.78x = 117,674.16 × 54,241.54
  4. Step 4: Simplify right side
    85,264.78x = 6,382,827,068.24
  5. Step 5: Solve for x
    x = 6,382,827,068.24/85,264.78
  6. Step 6: Final answer
    x = 74,858.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.