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Finding the Fourth Proportional to 85,116, 117,462.24 and 47,389.44

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Solution

The fourth proportional to 85,116, 117,462.24 and 47,389.44 is: 65,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,116 : 117,462.24 = 47,389.44 : x
  2. Step 2: Convert to fraction form
    85,116/117,462.24 = 47,389.44/x
  3. Step 3: Cross multiply
    85,116x = 117,462.24 × 47,389.44
  4. Step 4: Simplify right side
    85,116x = 5,566,469,774.75
  5. Step 5: Solve for x
    x = 5,566,469,774.75/85,116
  6. Step 6: Final answer
    x = 65,398.63

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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.