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Finding the Fourth Proportional to 143,083.72, 214,630.20 and 71,967.55

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Solution

The fourth proportional to 143,083.72, 214,630.20 and 71,967.55 is: 107,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,083.72 : 214,630.20 = 71,967.55 : x
  2. Step 2: Convert to fraction form
    143,083.72/214,630.20 = 71,967.55/x
  3. Step 3: Cross multiply
    143,083.72x = 214,630.20 × 71,967.55
  4. Step 4: Simplify right side
    143,083.72x = 15,446,409,290.17
  5. Step 5: Solve for x
    x = 15,446,409,290.17/143,083.72
  6. Step 6: Final answer
    x = 107,953.65

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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.