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Finding the Fourth Proportional to 155,150, 214,107 and 84,494

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Solution

The fourth proportional to 155,150, 214,107 and 84,494 is: 116,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,150 : 214,107 = 84,494 : x
  2. Step 2: Convert to fraction form
    155,150/214,107 = 84,494/x
  3. Step 3: Cross multiply
    155,150x = 214,107 × 84,494
  4. Step 4: Simplify right side
    155,150x = 18,090,756,858
  5. Step 5: Solve for x
    x = 18,090,756,858/155,150
  6. Step 6: Final answer
    x = 116,601.72

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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.