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Finding the Fourth Proportional to 122,109.60, 183,164.40 and 84,711.90

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Solution

The fourth proportional to 122,109.60, 183,164.40 and 84,711.90 is: 127,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,109.60 : 183,164.40 = 84,711.90 : x
  2. Step 2: Convert to fraction form
    122,109.60/183,164.40 = 84,711.90/x
  3. Step 3: Cross multiply
    122,109.60x = 183,164.40 × 84,711.90
  4. Step 4: Simplify right side
    122,109.60x = 15,516,204,336.36
  5. Step 5: Solve for x
    x = 15,516,204,336.36/122,109.60
  6. Step 6: Final answer
    x = 127,067.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.