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Finding the Fourth Proportional to 85,202.58, 117,591.84 and 51,199.86

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Solution

The fourth proportional to 85,202.58, 117,591.84 and 51,199.86 is: 70,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202.58 : 117,591.84 = 51,199.86 : x
  2. Step 2: Convert to fraction form
    85,202.58/117,591.84 = 51,199.86/x
  3. Step 3: Cross multiply
    85,202.58x = 117,591.84 × 51,199.86
  4. Step 4: Simplify right side
    85,202.58x = 6,020,685,745.14
  5. Step 5: Solve for x
    x = 6,020,685,745.14/85,202.58
  6. Step 6: Final answer
    x = 70,663.19

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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.