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Finding the Fourth Proportional to 78,072.51, 117,091.25 and 35,912.10

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Solution

The fourth proportional to 78,072.51, 117,091.25 and 35,912.10 is: 53,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.51 : 117,091.25 = 35,912.10 : x
  2. Step 2: Convert to fraction form
    78,072.51/117,091.25 = 35,912.10/x
  3. Step 3: Cross multiply
    78,072.51x = 117,091.25 × 35,912.10
  4. Step 4: Simplify right side
    78,072.51x = 4,204,991,914.11
  5. Step 5: Solve for x
    x = 4,204,991,914.11/78,072.51
  6. Step 6: Final answer
    x = 53,860.09

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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.