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Finding the Fourth Proportional to 85,382.45, 117,827.26 and 47,144.38

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Solution

The fourth proportional to 85,382.45, 117,827.26 and 47,144.38 is: 65,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.45 : 117,827.26 = 47,144.38 : x
  2. Step 2: Convert to fraction form
    85,382.45/117,827.26 = 47,144.38/x
  3. Step 3: Cross multiply
    85,382.45x = 117,827.26 × 47,144.38
  4. Step 4: Simplify right side
    85,382.45x = 5,554,892,928.30
  5. Step 5: Solve for x
    x = 5,554,892,928.30/85,382.45
  6. Step 6: Final answer
    x = 65,058.95

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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.