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Finding the Fourth Proportional to 214,647.30, 321,970.95 and 74,405.94

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Solution

The fourth proportional to 214,647.30, 321,970.95 and 74,405.94 is: 111,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,647.30 : 321,970.95 = 74,405.94 : x
  2. Step 2: Convert to fraction form
    214,647.30/321,970.95 = 74,405.94/x
  3. Step 3: Cross multiply
    214,647.30x = 321,970.95 × 74,405.94
  4. Step 4: Simplify right side
    214,647.30x = 23,956,551,187.44
  5. Step 5: Solve for x
    x = 23,956,551,187.44/214,647.30
  6. Step 6: Final answer
    x = 111,608.91

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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.