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Finding the Fourth Proportional to 214,646.91, 321,970.37 and 74,405.54

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Solution

The fourth proportional to 214,646.91, 321,970.37 and 74,405.54 is: 111,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,646.91 : 321,970.37 = 74,405.54 : x
  2. Step 2: Convert to fraction form
    214,646.91/321,970.37 = 74,405.54/x
  3. Step 3: Cross multiply
    214,646.91x = 321,970.37 × 74,405.54
  4. Step 4: Simplify right side
    214,646.91x = 23,956,377,261.97
  5. Step 5: Solve for x
    x = 23,956,377,261.97/214,646.91
  6. Step 6: Final answer
    x = 111,608.30

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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.