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Finding the Fourth Proportional to 271,509.80, 407,101.08 and 121,723

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Solution

The fourth proportional to 271,509.80, 407,101.08 and 121,723 is: 182,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,509.80 : 407,101.08 = 121,723 : x
  2. Step 2: Convert to fraction form
    271,509.80/407,101.08 = 121,723/x
  3. Step 3: Cross multiply
    271,509.80x = 407,101.08 × 121,723
  4. Step 4: Simplify right side
    271,509.80x = 49,553,564,760.84
  5. Step 5: Solve for x
    x = 49,553,564,760.84/271,509.80
  6. Step 6: Final answer
    x = 182,511.15

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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.