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Finding the Fourth Proportional to 271,515.90, 407,339.69 and 81,964.94

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Solution

The fourth proportional to 271,515.90, 407,339.69 and 81,964.94 is: 122,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,515.90 : 407,339.69 = 81,964.94 : x
  2. Step 2: Convert to fraction form
    271,515.90/407,339.69 = 81,964.94/x
  3. Step 3: Cross multiply
    271,515.90x = 407,339.69 × 81,964.94
  4. Step 4: Simplify right side
    271,515.90x = 33,387,570,803.95
  5. Step 5: Solve for x
    x = 33,387,570,803.95/271,515.90
  6. Step 6: Final answer
    x = 122,967.28

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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.