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Finding the Fourth Proportional to 271,672.79, 407,569.66 and 89,311.84

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Solution

The fourth proportional to 271,672.79, 407,569.66 and 89,311.84 is: 133,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,672.79 : 407,569.66 = 89,311.84 : x
  2. Step 2: Convert to fraction form
    271,672.79/407,569.66 = 89,311.84/x
  3. Step 3: Cross multiply
    271,672.79x = 407,569.66 × 89,311.84
  4. Step 4: Simplify right side
    271,672.79x = 36,400,794,224.93
  5. Step 5: Solve for x
    x = 36,400,794,224.93/271,672.79
  6. Step 6: Final answer
    x = 133,987.63

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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.