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Finding the Fourth Proportional to 85,886.72, 118,523.97 and 47,647.02

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Solution

The fourth proportional to 85,886.72, 118,523.97 and 47,647.02 is: 65,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,886.72 : 118,523.97 = 47,647.02 : x
  2. Step 2: Convert to fraction form
    85,886.72/118,523.97 = 47,647.02/x
  3. Step 3: Cross multiply
    85,886.72x = 118,523.97 × 47,647.02
  4. Step 4: Simplify right side
    85,886.72x = 5,647,313,969.07
  5. Step 5: Solve for x
    x = 5,647,313,969.07/85,886.72
  6. Step 6: Final answer
    x = 65,753.06

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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.