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Finding the Fourth Proportional to 271,084.89, 406,592.64 and 71,420.70

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Solution

The fourth proportional to 271,084.89, 406,592.64 and 71,420.70 is: 107,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,084.89 : 406,592.64 = 71,420.70 : x
  2. Step 2: Convert to fraction form
    271,084.89/406,592.64 = 71,420.70/x
  3. Step 3: Cross multiply
    271,084.89x = 406,592.64 × 71,420.70
  4. Step 4: Simplify right side
    271,084.89x = 29,039,130,963.65
  5. Step 5: Solve for x
    x = 29,039,130,963.65/271,084.89
  6. Step 6: Final answer
    x = 107,121.91

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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.