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Finding the Fourth Proportional to 143,234.23, 214,641.05 and 72,059.03

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Solution

The fourth proportional to 143,234.23, 214,641.05 and 72,059.03 is: 107,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,234.23 : 214,641.05 = 72,059.03 : x
  2. Step 2: Convert to fraction form
    143,234.23/214,641.05 = 72,059.03/x
  3. Step 3: Cross multiply
    143,234.23x = 214,641.05 × 72,059.03
  4. Step 4: Simplify right side
    143,234.23x = 15,466,826,037.49
  5. Step 5: Solve for x
    x = 15,466,826,037.49/143,234.23
  6. Step 6: Final answer
    x = 107,982.75

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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.