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Finding the Fourth Proportional to 85,396.01, 117,845.82 and 47,157.93

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Solution

The fourth proportional to 85,396.01, 117,845.82 and 47,157.93 is: 65,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396.01 : 117,845.82 = 47,157.93 : x
  2. Step 2: Convert to fraction form
    85,396.01/117,845.82 = 47,157.93/x
  3. Step 3: Cross multiply
    85,396.01x = 117,845.82 × 47,157.93
  4. Step 4: Simplify right side
    85,396.01x = 5,557,364,930.35
  5. Step 5: Solve for x
    x = 5,557,364,930.35/85,396.01
  6. Step 6: Final answer
    x = 65,077.58

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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.