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Finding the Fourth Proportional to 118,961.92, 164,166.40 and 65,245.96

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Solution

The fourth proportional to 118,961.92, 164,166.40 and 65,245.96 is: 90,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961.92 : 164,166.40 = 65,245.96 : x
  2. Step 2: Convert to fraction form
    118,961.92/164,166.40 = 65,245.96/x
  3. Step 3: Cross multiply
    118,961.92x = 164,166.40 × 65,245.96
  4. Step 4: Simplify right side
    118,961.92x = 10,711,194,367.74
  5. Step 5: Solve for x
    x = 10,711,194,367.74/118,961.92
  6. Step 6: Final answer
    x = 90,038.85

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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.