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Finding the Fourth Proportional to 209,975.19, 315,093.44 and 85,316.19

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Solution

The fourth proportional to 209,975.19, 315,093.44 and 85,316.19 is: 128,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,975.19 : 315,093.44 = 85,316.19 : x
  2. Step 2: Convert to fraction form
    209,975.19/315,093.44 = 85,316.19/x
  3. Step 3: Cross multiply
    209,975.19x = 315,093.44 × 85,316.19
  4. Step 4: Simplify right side
    209,975.19x = 26,882,571,794.79
  5. Step 5: Solve for x
    x = 26,882,571,794.79/209,975.19
  6. Step 6: Final answer
    x = 128,027.37

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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.