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Finding the Fourth Proportional to 192,202.12, 265,168.65 and 120,556

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Solution

The fourth proportional to 192,202.12, 265,168.65 and 120,556 is: 166,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,202.12 : 265,168.65 = 120,556 : x
  2. Step 2: Convert to fraction form
    192,202.12/265,168.65 = 120,556/x
  3. Step 3: Cross multiply
    192,202.12x = 265,168.65 × 120,556
  4. Step 4: Simplify right side
    192,202.12x = 31,967,671,769.40
  5. Step 5: Solve for x
    x = 31,967,671,769.40/192,202.12
  6. Step 6: Final answer
    x = 166,323.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.