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Finding the Fourth Proportional to 271,344.98, 406,961.72 and 102,807.20

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Solution

The fourth proportional to 271,344.98, 406,961.72 and 102,807.20 is: 154,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,344.98 : 406,961.72 = 102,807.20 : x
  2. Step 2: Convert to fraction form
    271,344.98/406,961.72 = 102,807.20/x
  3. Step 3: Cross multiply
    271,344.98x = 406,961.72 × 102,807.20
  4. Step 4: Simplify right side
    271,344.98x = 41,838,594,940.38
  5. Step 5: Solve for x
    x = 41,838,594,940.38/271,344.98
  6. Step 6: Final answer
    x = 154,189.68

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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.