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Finding the Fourth Proportional to 133,367.78, 183,907.05 and 82,979.30

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Solution

The fourth proportional to 133,367.78, 183,907.05 and 82,979.30 is: 114,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,367.78 : 183,907.05 = 82,979.30 : x
  2. Step 2: Convert to fraction form
    133,367.78/183,907.05 = 82,979.30/x
  3. Step 3: Cross multiply
    133,367.78x = 183,907.05 × 82,979.30
  4. Step 4: Simplify right side
    133,367.78x = 15,260,478,274.07
  5. Step 5: Solve for x
    x = 15,260,478,274.07/133,367.78
  6. Step 6: Final answer
    x = 114,424.03

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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.