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Finding the Fourth Proportional to 214,386.56, 321,778.56 and 109,284.48

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Solution

The fourth proportional to 214,386.56, 321,778.56 and 109,284.48 is: 164,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,386.56 : 321,778.56 = 109,284.48 : x
  2. Step 2: Convert to fraction form
    214,386.56/321,778.56 = 109,284.48/x
  3. Step 3: Cross multiply
    214,386.56x = 321,778.56 × 109,284.48
  4. Step 4: Simplify right side
    214,386.56x = 35,165,402,604.75
  5. Step 5: Solve for x
    x = 35,165,402,604.75/214,386.56
  6. Step 6: Final answer
    x = 164,028.02

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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.