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Finding the Fourth Proportional to 271,411.84, 407,121.23 and 71,730.50

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Solution

The fourth proportional to 271,411.84, 407,121.23 and 71,730.50 is: 107,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.84 : 407,121.23 = 71,730.50 : x
  2. Step 2: Convert to fraction form
    271,411.84/407,121.23 = 71,730.50/x
  3. Step 3: Cross multiply
    271,411.84x = 407,121.23 × 71,730.50
  4. Step 4: Simplify right side
    271,411.84x = 29,203,009,029.86
  5. Step 5: Solve for x
    x = 29,203,009,029.86/271,411.84
  6. Step 6: Final answer
    x = 107,596.67

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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.