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Finding the Fourth Proportional to 214,392.78, 321,362.28 and 72,102.60

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Solution

The fourth proportional to 214,392.78, 321,362.28 and 72,102.60 is: 108,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392.78 : 321,362.28 = 72,102.60 : x
  2. Step 2: Convert to fraction form
    214,392.78/321,362.28 = 72,102.60/x
  3. Step 3: Cross multiply
    214,392.78x = 321,362.28 × 72,102.60
  4. Step 4: Simplify right side
    214,392.78x = 23,171,055,929.93
  5. Step 5: Solve for x
    x = 23,171,055,929.93/214,392.78
  6. Step 6: Final answer
    x = 108,077.59

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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.