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Finding the Fourth Proportional to 271,891.81, 407,879.21 and 138,699.41

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Solution

The fourth proportional to 271,891.81, 407,879.21 and 138,699.41 is: 208,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,891.81 : 407,879.21 = 138,699.41 : x
  2. Step 2: Convert to fraction form
    271,891.81/407,879.21 = 138,699.41/x
  3. Step 3: Cross multiply
    271,891.81x = 407,879.21 × 138,699.41
  4. Step 4: Simplify right side
    271,891.81x = 56,572,604,085.62
  5. Step 5: Solve for x
    x = 56,572,604,085.62/271,891.81
  6. Step 6: Final answer
    x = 208,070.28

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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.