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Finding the Fourth Proportional to 85,461.67, 117,914.29 and 47,735.11

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Solution

The fourth proportional to 85,461.67, 117,914.29 and 47,735.11 is: 65,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,461.67 : 117,914.29 = 47,735.11 : x
  2. Step 2: Convert to fraction form
    85,461.67/117,914.29 = 47,735.11/x
  3. Step 3: Cross multiply
    85,461.67x = 117,914.29 × 47,735.11
  4. Step 4: Simplify right side
    85,461.67x = 5,628,651,603.72
  5. Step 5: Solve for x
    x = 5,628,651,603.72/85,461.67
  6. Step 6: Final answer
    x = 65,861.71

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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.