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Finding the Fourth Proportional to 214,157.53, 320,969.74 and 138,055.40

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Solution

The fourth proportional to 214,157.53, 320,969.74 and 138,055.40 is: 206,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,157.53 : 320,969.74 = 138,055.40 : x
  2. Step 2: Convert to fraction form
    214,157.53/320,969.74 = 138,055.40/x
  3. Step 3: Cross multiply
    214,157.53x = 320,969.74 × 138,055.40
  4. Step 4: Simplify right side
    214,157.53x = 44,311,605,843.60
  5. Step 5: Solve for x
    x = 44,311,605,843.60/214,157.53
  6. Step 6: Final answer
    x = 206,911.27

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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.