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Finding the Fourth Proportional to 210,096.75, 315,147.86 and 69,855.38

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Solution

The fourth proportional to 210,096.75, 315,147.86 and 69,855.38 is: 104,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096.75 : 315,147.86 = 69,855.38 : x
  2. Step 2: Convert to fraction form
    210,096.75/315,147.86 = 69,855.38/x
  3. Step 3: Cross multiply
    210,096.75x = 315,147.86 × 69,855.38
  4. Step 4: Simplify right side
    210,096.75x = 22,014,771,591.47
  5. Step 5: Solve for x
    x = 22,014,771,591.47/210,096.75
  6. Step 6: Final answer
    x = 104,783.97

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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.