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Finding the Fourth Proportional to 138,943, 208,414.50 and 33,762.27

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Solution

The fourth proportional to 138,943, 208,414.50 and 33,762.27 is: 50,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,943 : 208,414.50 = 33,762.27 : x
  2. Step 2: Convert to fraction form
    138,943/208,414.50 = 33,762.27/x
  3. Step 3: Cross multiply
    138,943x = 208,414.50 × 33,762.27
  4. Step 4: Simplify right side
    138,943x = 7,036,546,620.92
  5. Step 5: Solve for x
    x = 7,036,546,620.92/138,943
  6. Step 6: Final answer
    x = 50,643.41

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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.