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Finding the Fourth Proportional to 271,911.50, 407,908.62 and 138,719.02

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Solution

The fourth proportional to 271,911.50, 407,908.62 and 138,719.02 is: 208,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,911.50 : 407,908.62 = 138,719.02 : x
  2. Step 2: Convert to fraction form
    271,911.50/407,908.62 = 138,719.02/x
  3. Step 3: Cross multiply
    271,911.50x = 407,908.62 × 138,719.02
  4. Step 4: Simplify right side
    271,911.50x = 56,584,684,015.95
  5. Step 5: Solve for x
    x = 56,584,684,015.95/271,911.50
  6. Step 6: Final answer
    x = 208,099.64

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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.