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Finding the Fourth Proportional to 155,758.11, 214,946.26 and 84,138.11

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Solution

The fourth proportional to 155,758.11, 214,946.26 and 84,138.11 is: 116,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,758.11 : 214,946.26 = 84,138.11 : x
  2. Step 2: Convert to fraction form
    155,758.11/214,946.26 = 84,138.11/x
  3. Step 3: Cross multiply
    155,758.11x = 214,946.26 × 84,138.11
  4. Step 4: Simplify right side
    155,758.11x = 18,085,171,588.94
  5. Step 5: Solve for x
    x = 18,085,171,588.94/155,758.11
  6. Step 6: Final answer
    x = 116,110.63

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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.