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Finding the Fourth Proportional to 177,190.80, 265,738.56 and 121,021.20

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Solution

The fourth proportional to 177,190.80, 265,738.56 and 121,021.20 is: 181,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,190.80 : 265,738.56 = 121,021.20 : x
  2. Step 2: Convert to fraction form
    177,190.80/265,738.56 = 121,021.20/x
  3. Step 3: Cross multiply
    177,190.80x = 265,738.56 × 121,021.20
  4. Step 4: Simplify right side
    177,190.80x = 32,159,999,417.47
  5. Step 5: Solve for x
    x = 32,159,999,417.47/177,190.80
  6. Step 6: Final answer
    x = 181,499.26

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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.