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Finding the Fourth Proportional to 78,563.88, 117,806.94 and 41,118.12

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Solution

The fourth proportional to 78,563.88, 117,806.94 and 41,118.12 is: 61,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.88 : 117,806.94 = 41,118.12 : x
  2. Step 2: Convert to fraction form
    78,563.88/117,806.94 = 41,118.12/x
  3. Step 3: Cross multiply
    78,563.88x = 117,806.94 × 41,118.12
  4. Step 4: Simplify right side
    78,563.88x = 4,843,999,895.75
  5. Step 5: Solve for x
    x = 4,843,999,895.75/78,563.88
  6. Step 6: Final answer
    x = 61,656.83

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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.