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Finding the Fourth Proportional to 214,908.21, 322,362.32 and 67,164.21

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Solution

The fourth proportional to 214,908.21, 322,362.32 and 67,164.21 is: 100,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.21 : 322,362.32 = 67,164.21 : x
  2. Step 2: Convert to fraction form
    214,908.21/322,362.32 = 67,164.21/x
  3. Step 3: Cross multiply
    214,908.21x = 322,362.32 × 67,164.21
  4. Step 4: Simplify right side
    214,908.21x = 21,651,210,220.75
  5. Step 5: Solve for x
    x = 21,651,210,220.75/214,908.21
  6. Step 6: Final answer
    x = 100,746.32

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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.