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Finding the Fourth Proportional to 214,029.40, 320,813.70 and 80,858.20

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Solution

The fourth proportional to 214,029.40, 320,813.70 and 80,858.20 is: 121,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,029.40 : 320,813.70 = 80,858.20 : x
  2. Step 2: Convert to fraction form
    214,029.40/320,813.70 = 80,858.20/x
  3. Step 3: Cross multiply
    214,029.40x = 320,813.70 × 80,858.20
  4. Step 4: Simplify right side
    214,029.40x = 25,940,418,317.34
  5. Step 5: Solve for x
    x = 25,940,418,317.34/214,029.40
  6. Step 6: Final answer
    x = 121,200.26

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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.