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Finding the Fourth Proportional to 271,537.92, 407,309.86 and 81,999.89

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Solution

The fourth proportional to 271,537.92, 407,309.86 and 81,999.89 is: 123,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,537.92 : 407,309.86 = 81,999.89 : x
  2. Step 2: Convert to fraction form
    271,537.92/407,309.86 = 81,999.89/x
  3. Step 3: Cross multiply
    271,537.92x = 407,309.86 × 81,999.89
  4. Step 4: Simplify right side
    271,537.92x = 33,399,363,715.92
  5. Step 5: Solve for x
    x = 33,399,363,715.92/271,537.92
  6. Step 6: Final answer
    x = 123,000.74

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1.5x scale

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.