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Finding the Fourth Proportional to 214,469.64, 321,495.28 and 102,119.67

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Solution

The fourth proportional to 214,469.64, 321,495.28 and 102,119.67 is: 153,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.64 : 321,495.28 = 102,119.67 : x
  2. Step 2: Convert to fraction form
    214,469.64/321,495.28 = 102,119.67/x
  3. Step 3: Cross multiply
    214,469.64x = 321,495.28 × 102,119.67
  4. Step 4: Simplify right side
    214,469.64x = 32,830,991,644.86
  5. Step 5: Solve for x
    x = 32,830,991,644.86/214,469.64
  6. Step 6: Final answer
    x = 153,079.90

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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.