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Finding the Fourth Proportional to 214,325.40, 321,390.90 and 81,161.40

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Solution

The fourth proportional to 214,325.40, 321,390.90 and 81,161.40 is: 121,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,325.40 : 321,390.90 = 81,161.40 : x
  2. Step 2: Convert to fraction form
    214,325.40/321,390.90 = 81,161.40/x
  3. Step 3: Cross multiply
    214,325.40x = 321,390.90 × 81,161.40
  4. Step 4: Simplify right side
    214,325.40x = 26,084,535,391.26
  5. Step 5: Solve for x
    x = 26,084,535,391.26/214,325.40
  6. Step 6: Final answer
    x = 121,705.29

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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.