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Finding the Fourth Proportional to 51,907.92, 71,558.28 and 36,978

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Solution

The fourth proportional to 51,907.92, 71,558.28 and 36,978 is: 50,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,907.92 : 71,558.28 = 36,978 : x
  2. Step 2: Convert to fraction form
    51,907.92/71,558.28 = 36,978/x
  3. Step 3: Cross multiply
    51,907.92x = 71,558.28 × 36,978
  4. Step 4: Simplify right side
    51,907.92x = 2,646,082,077.84
  5. Step 5: Solve for x
    x = 2,646,082,077.84/51,907.92
  6. Step 6: Final answer
    x = 50,976.46

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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.