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Finding the Fourth Proportional to 85,379.88, 117,835.38 and 47,661.96

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Solution

The fourth proportional to 85,379.88, 117,835.38 and 47,661.96 is: 65,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,379.88 : 117,835.38 = 47,661.96 : x
  2. Step 2: Convert to fraction form
    85,379.88/117,835.38 = 47,661.96/x
  3. Step 3: Cross multiply
    85,379.88x = 117,835.38 × 47,661.96
  4. Step 4: Simplify right side
    85,379.88x = 5,616,265,168.14
  5. Step 5: Solve for x
    x = 5,616,265,168.14/85,379.88
  6. Step 6: Final answer
    x = 65,779.73

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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.