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Finding the Fourth Proportional to 77,072, 106,368 and 43,540.16

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Solution

The fourth proportional to 77,072, 106,368 and 43,540.16 is: 60,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072 : 106,368 = 43,540.16 : x
  2. Step 2: Convert to fraction form
    77,072/106,368 = 43,540.16/x
  3. Step 3: Cross multiply
    77,072x = 106,368 × 43,540.16
  4. Step 4: Simplify right side
    77,072x = 4,631,279,738.88
  5. Step 5: Solve for x
    x = 4,631,279,738.88/77,072
  6. Step 6: Final answer
    x = 60,090.30

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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.