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Finding the Fourth Proportional to 157,755.44, 217,932.81 and 136,497.80

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Solution

The fourth proportional to 157,755.44, 217,932.81 and 136,497.80 is: 188,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,755.44 : 217,932.81 = 136,497.80 : x
  2. Step 2: Convert to fraction form
    157,755.44/217,932.81 = 136,497.80/x
  3. Step 3: Cross multiply
    157,755.44x = 217,932.81 × 136,497.80
  4. Step 4: Simplify right side
    157,755.44x = 29,747,349,112.82
  5. Step 5: Solve for x
    x = 29,747,349,112.82/157,755.44
  6. Step 6: Final answer
    x = 188,566.23

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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.