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Finding the Fourth Proportional to 281,129.28, 387,920.16 and 167,928

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Solution

The fourth proportional to 281,129.28, 387,920.16 and 167,928 is: 231,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,129.28 : 387,920.16 = 167,928 : x
  2. Step 2: Convert to fraction form
    281,129.28/387,920.16 = 167,928/x
  3. Step 3: Cross multiply
    281,129.28x = 387,920.16 × 167,928
  4. Step 4: Simplify right side
    281,129.28x = 65,142,656,628.48
  5. Step 5: Solve for x
    x = 65,142,656,628.48/281,129.28
  6. Step 6: Final answer
    x = 231,717.79

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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.