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Finding the Fourth Proportional to 155,758.85, 214,947.06 and 84,138.84

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Solution

The fourth proportional to 155,758.85, 214,947.06 and 84,138.84 is: 116,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,758.85 : 214,947.06 = 84,138.84 : x
  2. Step 2: Convert to fraction form
    155,758.85/214,947.06 = 84,138.84/x
  3. Step 3: Cross multiply
    155,758.85x = 214,947.06 × 84,138.84
  4. Step 4: Simplify right side
    155,758.85x = 18,085,396,289.81
  5. Step 5: Solve for x
    x = 18,085,396,289.81/155,758.85
  6. Step 6: Final answer
    x = 116,111.52

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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.