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Finding the Fourth Proportional to 214,626.60, 321,680.70 and 109,391.40

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Solution

The fourth proportional to 214,626.60, 321,680.70 and 109,391.40 is: 163,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626.60 : 321,680.70 = 109,391.40 : x
  2. Step 2: Convert to fraction form
    214,626.60/321,680.70 = 109,391.40/x
  3. Step 3: Cross multiply
    214,626.60x = 321,680.70 × 109,391.40
  4. Step 4: Simplify right side
    214,626.60x = 35,189,102,125.98
  5. Step 5: Solve for x
    x = 35,189,102,125.98/214,626.60
  6. Step 6: Final answer
    x = 163,954.99

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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.