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Finding the Fourth Proportional to 271,351.72, 407,047.02 and 71,670.12

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Solution

The fourth proportional to 271,351.72, 407,047.02 and 71,670.12 is: 107,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,351.72 : 407,047.02 = 71,670.12 : x
  2. Step 2: Convert to fraction form
    271,351.72/407,047.02 = 71,670.12/x
  3. Step 3: Cross multiply
    271,351.72x = 407,047.02 × 71,670.12
  4. Step 4: Simplify right side
    271,351.72x = 29,173,107,377.00
  5. Step 5: Solve for x
    x = 29,173,107,377.00/271,351.72
  6. Step 6: Final answer
    x = 107,510.31

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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.