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Finding the Fourth Proportional to 214,666.50, 321,999.75 and 66,922.50

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Solution

The fourth proportional to 214,666.50, 321,999.75 and 66,922.50 is: 100,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,666.50 : 321,999.75 = 66,922.50 : x
  2. Step 2: Convert to fraction form
    214,666.50/321,999.75 = 66,922.50/x
  3. Step 3: Cross multiply
    214,666.50x = 321,999.75 × 66,922.50
  4. Step 4: Simplify right side
    214,666.50x = 21,549,028,269.38
  5. Step 5: Solve for x
    x = 21,549,028,269.38/214,666.50
  6. Step 6: Final answer
    x = 100,383.75

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1.5x scale

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.