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Finding the Fourth Proportional to 129,078, 178,144.88 and 78,131.84

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Solution

The fourth proportional to 129,078, 178,144.88 and 78,131.84 is: 107,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,078 : 178,144.88 = 78,131.84 : x
  2. Step 2: Convert to fraction form
    129,078/178,144.88 = 78,131.84/x
  3. Step 3: Cross multiply
    129,078x = 178,144.88 × 78,131.84
  4. Step 4: Simplify right side
    129,078x = 13,918,787,260.98
  5. Step 5: Solve for x
    x = 13,918,787,260.98/129,078
  6. Step 6: Final answer
    x = 107,832.37

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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.