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Finding the Fourth Proportional to 215,764.44, 323,682.86 and 65,969.63

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Solution

The fourth proportional to 215,764.44, 323,682.86 and 65,969.63 is: 98,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,764.44 : 323,682.86 = 65,969.63 : x
  2. Step 2: Convert to fraction form
    215,764.44/323,682.86 = 65,969.63/x
  3. Step 3: Cross multiply
    215,764.44x = 323,682.86 × 65,969.63
  4. Step 4: Simplify right side
    215,764.44x = 21,353,236,563.28
  5. Step 5: Solve for x
    x = 21,353,236,563.28/215,764.44
  6. Step 6: Final answer
    x = 98,965.50

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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.