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Finding the Fourth Proportional to 143,245.92, 214,573.63 and 83,901.67

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Solution

The fourth proportional to 143,245.92, 214,573.63 and 83,901.67 is: 125,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,245.92 : 214,573.63 = 83,901.67 : x
  2. Step 2: Convert to fraction form
    143,245.92/214,573.63 = 83,901.67/x
  3. Step 3: Cross multiply
    143,245.92x = 214,573.63 × 83,901.67
  4. Step 4: Simplify right side
    143,245.92x = 18,003,086,749.04
  5. Step 5: Solve for x
    x = 18,003,086,749.04/143,245.92
  6. Step 6: Final answer
    x = 125,679.58

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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.