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Finding the Fourth Proportional to 85,366.89, 117,806.37 and 47,641.14

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Solution

The fourth proportional to 85,366.89, 117,806.37 and 47,641.14 is: 65,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,366.89 : 117,806.37 = 47,641.14 : x
  2. Step 2: Convert to fraction form
    85,366.89/117,806.37 = 47,641.14/x
  3. Step 3: Cross multiply
    85,366.89x = 117,806.37 × 47,641.14
  4. Step 4: Simplify right side
    85,366.89x = 5,612,429,766.06
  5. Step 5: Solve for x
    x = 5,612,429,766.06/85,366.89
  6. Step 6: Final answer
    x = 65,744.81

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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.