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Finding the Fourth Proportional to 85,418.44, 117,884.74 and 47,699.98

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Solution

The fourth proportional to 85,418.44, 117,884.74 and 47,699.98 is: 65,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,418.44 : 117,884.74 = 47,699.98 : x
  2. Step 2: Convert to fraction form
    85,418.44/117,884.74 = 47,699.98/x
  3. Step 3: Cross multiply
    85,418.44x = 117,884.74 × 47,699.98
  4. Step 4: Simplify right side
    85,418.44x = 5,623,099,326.34
  5. Step 5: Solve for x
    x = 5,623,099,326.34/85,418.44
  6. Step 6: Final answer
    x = 65,830.04

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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.