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Finding the Fourth Proportional to 143,129.20, 214,693.80 and 80,143.60

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Solution

The fourth proportional to 143,129.20, 214,693.80 and 80,143.60 is: 120,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,129.20 : 214,693.80 = 80,143.60 : x
  2. Step 2: Convert to fraction form
    143,129.20/214,693.80 = 80,143.60/x
  3. Step 3: Cross multiply
    143,129.20x = 214,693.80 × 80,143.60
  4. Step 4: Simplify right side
    143,129.20x = 17,206,334,029.68
  5. Step 5: Solve for x
    x = 17,206,334,029.68/143,129.20
  6. Step 6: Final answer
    x = 120,215.40

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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.