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Finding the Fourth Proportional to 177,437.36, 266,208 and 66,638

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Solution

The fourth proportional to 177,437.36, 266,208 and 66,638 is: 99,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437.36 : 266,208 = 66,638 : x
  2. Step 2: Convert to fraction form
    177,437.36/266,208 = 66,638/x
  3. Step 3: Cross multiply
    177,437.36x = 266,208 × 66,638
  4. Step 4: Simplify right side
    177,437.36x = 17,739,568,704
  5. Step 5: Solve for x
    x = 17,739,568,704/177,437.36
  6. Step 6: Final answer
    x = 99,976.51

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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.