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Finding the Fourth Proportional to 118,850, 164,013 and 71,105.36

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Solution

The fourth proportional to 118,850, 164,013 and 71,105.36 is: 98,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,850 : 164,013 = 71,105.36 : x
  2. Step 2: Convert to fraction form
    118,850/164,013 = 71,105.36/x
  3. Step 3: Cross multiply
    118,850x = 164,013 × 71,105.36
  4. Step 4: Simplify right side
    118,850x = 11,662,203,409.68
  5. Step 5: Solve for x
    x = 11,662,203,409.68/118,850
  6. Step 6: Final answer
    x = 98,125.40

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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.