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Finding the Fourth Proportional to 123,768.10, 185,725.05 and 81,769.60

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Solution

The fourth proportional to 123,768.10, 185,725.05 and 81,769.60 is: 122,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,768.10 : 185,725.05 = 81,769.60 : x
  2. Step 2: Convert to fraction form
    123,768.10/185,725.05 = 81,769.60/x
  3. Step 3: Cross multiply
    123,768.10x = 185,725.05 × 81,769.60
  4. Step 4: Simplify right side
    123,768.10x = 15,186,663,048.48
  5. Step 5: Solve for x
    x = 15,186,663,048.48/123,768.10
  6. Step 6: Final answer
    x = 122,702.56

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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.