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Finding the Fourth Proportional to 271,668.78, 407,503.15 and 103,188.69

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Solution

The fourth proportional to 271,668.78, 407,503.15 and 103,188.69 is: 154,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,668.78 : 407,503.15 = 103,188.69 : x
  2. Step 2: Convert to fraction form
    271,668.78/407,503.15 = 103,188.69/x
  3. Step 3: Cross multiply
    271,668.78x = 407,503.15 × 103,188.69
  4. Step 4: Simplify right side
    271,668.78x = 42,049,715,961.40
  5. Step 5: Solve for x
    x = 42,049,715,961.40/271,668.78
  6. Step 6: Final answer
    x = 154,783.03

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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.