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Finding the Fourth Proportional to 85,840.34, 118,471.93 and 47,608.39

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Solution

The fourth proportional to 85,840.34, 118,471.93 and 47,608.39 is: 65,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840.34 : 118,471.93 = 47,608.39 : x
  2. Step 2: Convert to fraction form
    85,840.34/118,471.93 = 47,608.39/x
  3. Step 3: Cross multiply
    85,840.34x = 118,471.93 × 47,608.39
  4. Step 4: Simplify right side
    85,840.34x = 5,640,257,542.97
  5. Step 5: Solve for x
    x = 5,640,257,542.97/85,840.34
  6. Step 6: Final answer
    x = 65,706.38

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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.