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Finding the Fourth Proportional to 271,985.71, 407,978.49 and 84,997.21

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Solution

The fourth proportional to 271,985.71, 407,978.49 and 84,997.21 is: 127,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,985.71 : 407,978.49 = 84,997.21 : x
  2. Step 2: Convert to fraction form
    271,985.71/407,978.49 = 84,997.21/x
  3. Step 3: Cross multiply
    271,985.71x = 407,978.49 × 84,997.21
  4. Step 4: Simplify right side
    271,985.71x = 34,677,033,390.01
  5. Step 5: Solve for x
    x = 34,677,033,390.01/271,985.71
  6. Step 6: Final answer
    x = 127,495.79

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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.