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Finding the Fourth Proportional to 157,297.78, 217,118.37 and 107,025.94

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Solution

The fourth proportional to 157,297.78, 217,118.37 and 107,025.94 is: 147,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,297.78 : 217,118.37 = 107,025.94 : x
  2. Step 2: Convert to fraction form
    157,297.78/217,118.37 = 107,025.94/x
  3. Step 3: Cross multiply
    157,297.78x = 217,118.37 × 107,025.94
  4. Step 4: Simplify right side
    157,297.78x = 23,237,297,640.52
  5. Step 5: Solve for x
    x = 23,237,297,640.52/157,297.78
  6. Step 6: Final answer
    x = 147,728.07

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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.