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Finding the Fourth Proportional to 271,284.50, 406,926.75 and 105,072.50

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Solution

The fourth proportional to 271,284.50, 406,926.75 and 105,072.50 is: 157,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,284.50 : 406,926.75 = 105,072.50 : x
  2. Step 2: Convert to fraction form
    271,284.50/406,926.75 = 105,072.50/x
  3. Step 3: Cross multiply
    271,284.50x = 406,926.75 × 105,072.50
  4. Step 4: Simplify right side
    271,284.50x = 42,756,810,939.38
  5. Step 5: Solve for x
    x = 42,756,810,939.38/271,284.50
  6. Step 6: Final answer
    x = 157,608.75

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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.