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Finding the Fourth Proportional to 155,939.76, 214,972.92 and 111,150

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Solution

The fourth proportional to 155,939.76, 214,972.92 and 111,150 is: 153,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,939.76 : 214,972.92 = 111,150 : x
  2. Step 2: Convert to fraction form
    155,939.76/214,972.92 = 111,150/x
  3. Step 3: Cross multiply
    155,939.76x = 214,972.92 × 111,150
  4. Step 4: Simplify right side
    155,939.76x = 23,894,240,058
  5. Step 5: Solve for x
    x = 23,894,240,058/155,939.76
  6. Step 6: Final answer
    x = 153,227.37

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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.