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Finding the Fourth Proportional to 47,756.56, 65,943.84 and 39,840.28

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Solution

The fourth proportional to 47,756.56, 65,943.84 and 39,840.28 is: 55,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,756.56 : 65,943.84 = 39,840.28 : x
  2. Step 2: Convert to fraction form
    47,756.56/65,943.84 = 39,840.28/x
  3. Step 3: Cross multiply
    47,756.56x = 65,943.84 × 39,840.28
  4. Step 4: Simplify right side
    47,756.56x = 2,627,221,049.88
  5. Step 5: Solve for x
    x = 2,627,221,049.88/47,756.56
  6. Step 6: Final answer
    x = 55,012.78

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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.