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Finding the Fourth Proportional to 85,972.53, 118,640.16 and 47,729.82

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Solution

The fourth proportional to 85,972.53, 118,640.16 and 47,729.82 is: 65,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972.53 : 118,640.16 = 47,729.82 : x
  2. Step 2: Convert to fraction form
    85,972.53/118,640.16 = 47,729.82/x
  3. Step 3: Cross multiply
    85,972.53x = 118,640.16 × 47,729.82
  4. Step 4: Simplify right side
    85,972.53x = 5,662,673,481.57
  5. Step 5: Solve for x
    x = 5,662,673,481.57/85,972.53
  6. Step 6: Final answer
    x = 65,866.08

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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.