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Finding the Fourth Proportional to 271,325.76, 407,046.88 and 91,428.96

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Solution

The fourth proportional to 271,325.76, 407,046.88 and 91,428.96 is: 137,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,325.76 : 407,046.88 = 91,428.96 : x
  2. Step 2: Convert to fraction form
    271,325.76/407,046.88 = 91,428.96/x
  3. Step 3: Cross multiply
    271,325.76x = 407,046.88 × 91,428.96
  4. Step 4: Simplify right side
    271,325.76x = 37,215,872,909.64
  5. Step 5: Solve for x
    x = 37,215,872,909.64/271,325.76
  6. Step 6: Final answer
    x = 137,163.07

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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.