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Finding the Fourth Proportional to 214,596.48, 321,894.72 and 66,864

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Solution

The fourth proportional to 214,596.48, 321,894.72 and 66,864 is: 100,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596.48 : 321,894.72 = 66,864 : x
  2. Step 2: Convert to fraction form
    214,596.48/321,894.72 = 66,864/x
  3. Step 3: Cross multiply
    214,596.48x = 321,894.72 × 66,864
  4. Step 4: Simplify right side
    214,596.48x = 21,523,168,558.08
  5. Step 5: Solve for x
    x = 21,523,168,558.08/214,596.48
  6. Step 6: Final answer
    x = 100,296.00

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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.