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Finding the Fourth Proportional to 78,072.63, 117,091.43 and 35,912.22

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Solution

The fourth proportional to 78,072.63, 117,091.43 and 35,912.22 is: 53,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.63 : 117,091.43 = 35,912.22 : x
  2. Step 2: Convert to fraction form
    78,072.63/117,091.43 = 35,912.22/x
  3. Step 3: Cross multiply
    78,072.63x = 117,091.43 × 35,912.22
  4. Step 4: Simplify right side
    78,072.63x = 4,205,013,368.93
  5. Step 5: Solve for x
    x = 4,205,013,368.93/78,072.63
  6. Step 6: Final answer
    x = 53,860.27

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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.