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Finding the Fourth Proportional to 78,617.88, 117,738.18 and 69,161.84

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Solution

The fourth proportional to 78,617.88, 117,738.18 and 69,161.84 is: 103,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.88 : 117,738.18 = 69,161.84 : x
  2. Step 2: Convert to fraction form
    78,617.88/117,738.18 = 69,161.84/x
  3. Step 3: Cross multiply
    78,617.88x = 117,738.18 × 69,161.84
  4. Step 4: Simplify right side
    78,617.88x = 8,142,988,578.36
  5. Step 5: Solve for x
    x = 8,142,988,578.36/78,617.88
  6. Step 6: Final answer
    x = 103,576.80

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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.