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Finding the Fourth Proportional to 214,469.40, 321,494.88 and 102,119.42

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Solution

The fourth proportional to 214,469.40, 321,494.88 and 102,119.42 is: 153,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.40 : 321,494.88 = 102,119.42 : x
  2. Step 2: Convert to fraction form
    214,469.40/321,494.88 = 102,119.42/x
  3. Step 3: Cross multiply
    214,469.40x = 321,494.88 × 102,119.42
  4. Step 4: Simplify right side
    214,469.40x = 32,830,870,678.57
  5. Step 5: Solve for x
    x = 32,830,870,678.57/214,469.40
  6. Step 6: Final answer
    x = 153,079.51

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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.