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Finding the Fourth Proportional to 85,492.26, 117,976.91 and 47,766.51

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Solution

The fourth proportional to 85,492.26, 117,976.91 and 47,766.51 is: 65,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,492.26 : 117,976.91 = 47,766.51 : x
  2. Step 2: Convert to fraction form
    85,492.26/117,976.91 = 47,766.51/x
  3. Step 3: Cross multiply
    85,492.26x = 117,976.91 × 47,766.51
  4. Step 4: Simplify right side
    85,492.26x = 5,635,345,012.45
  5. Step 5: Solve for x
    x = 5,635,345,012.45/85,492.26
  6. Step 6: Final answer
    x = 65,916.44

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