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Finding the Fourth Proportional to 143,242.56, 214,536.84 and 68,415.44

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Solution

The fourth proportional to 143,242.56, 214,536.84 and 68,415.44 is: 102,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,242.56 : 214,536.84 = 68,415.44 : x
  2. Step 2: Convert to fraction form
    143,242.56/214,536.84 = 68,415.44/x
  3. Step 3: Cross multiply
    143,242.56x = 214,536.84 × 68,415.44
  4. Step 4: Simplify right side
    143,242.56x = 14,677,630,975.57
  5. Step 5: Solve for x
    x = 14,677,630,975.57/143,242.56
  6. Step 6: Final answer
    x = 102,466.97

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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.