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Finding the Fourth Proportional to 155,169, 214,133.22 and 84,513

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Solution

The fourth proportional to 155,169, 214,133.22 and 84,513 is: 116,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,169 : 214,133.22 = 84,513 : x
  2. Step 2: Convert to fraction form
    155,169/214,133.22 = 84,513/x
  3. Step 3: Cross multiply
    155,169x = 214,133.22 × 84,513
  4. Step 4: Simplify right side
    155,169x = 18,097,040,821.86
  5. Step 5: Solve for x
    x = 18,097,040,821.86/155,169
  6. Step 6: Final answer
    x = 116,627.94

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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.