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Finding the Fourth Proportional to 78,379.98, 117,560.85 and 27,773.25

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Solution

The fourth proportional to 78,379.98, 117,560.85 and 27,773.25 is: 41,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.98 : 117,560.85 = 27,773.25 : x
  2. Step 2: Convert to fraction form
    78,379.98/117,560.85 = 27,773.25/x
  3. Step 3: Cross multiply
    78,379.98x = 117,560.85 × 27,773.25
  4. Step 4: Simplify right side
    78,379.98x = 3,265,046,877.26
  5. Step 5: Solve for x
    x = 3,265,046,877.26/78,379.98
  6. Step 6: Final answer
    x = 41,656.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.