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Finding the Fourth Proportional to 214,245.68, 321,267.79 and 79,216.46

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Solution

The fourth proportional to 214,245.68, 321,267.79 and 79,216.46 is: 118,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,245.68 : 321,267.79 = 79,216.46 : x
  2. Step 2: Convert to fraction form
    214,245.68/321,267.79 = 79,216.46/x
  3. Step 3: Cross multiply
    214,245.68x = 321,267.79 × 79,216.46
  4. Step 4: Simplify right side
    214,245.68x = 25,449,697,035.82
  5. Step 5: Solve for x
    x = 25,449,697,035.82/214,245.68
  6. Step 6: Final answer
    x = 118,787.45

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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.