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Finding the Fourth Proportional to 214,640.57, 321,960.86 and 74,399.20

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Solution

The fourth proportional to 214,640.57, 321,960.86 and 74,399.20 is: 111,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,640.57 : 321,960.86 = 74,399.20 : x
  2. Step 2: Convert to fraction form
    214,640.57/321,960.86 = 74,399.20/x
  3. Step 3: Cross multiply
    214,640.57x = 321,960.86 × 74,399.20
  4. Step 4: Simplify right side
    214,640.57x = 23,953,630,415.31
  5. Step 5: Solve for x
    x = 23,953,630,415.31/214,640.57
  6. Step 6: Final answer
    x = 111,598.80

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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.