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Finding the Fourth Proportional to 123,893.82, 171,000.05 and 75,511.49

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Solution

The fourth proportional to 123,893.82, 171,000.05 and 75,511.49 is: 104,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,893.82 : 171,000.05 = 75,511.49 : x
  2. Step 2: Convert to fraction form
    123,893.82/171,000.05 = 75,511.49/x
  3. Step 3: Cross multiply
    123,893.82x = 171,000.05 × 75,511.49
  4. Step 4: Simplify right side
    123,893.82x = 12,912,467,333.02
  5. Step 5: Solve for x
    x = 12,912,467,333.02/123,893.82
  6. Step 6: Final answer
    x = 104,222.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.