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Finding the Fourth Proportional to 281,021.12, 387,819.24 and 160,180.64

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Solution

The fourth proportional to 281,021.12, 387,819.24 and 160,180.64 is: 221,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,021.12 : 387,819.24 = 160,180.64 : x
  2. Step 2: Convert to fraction form
    281,021.12/387,819.24 = 160,180.64/x
  3. Step 3: Cross multiply
    281,021.12x = 387,819.24 × 160,180.64
  4. Step 4: Simplify right side
    281,021.12x = 62,121,134,067.51
  5. Step 5: Solve for x
    x = 62,121,134,067.51/281,021.12
  6. Step 6: Final answer
    x = 221,055.04

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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.