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Finding the Fourth Proportional to 231,902.97, 320,035.29 and 129,929.28

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Solution

The fourth proportional to 231,902.97, 320,035.29 and 129,929.28 is: 179,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,902.97 : 320,035.29 = 129,929.28 : x
  2. Step 2: Convert to fraction form
    231,902.97/320,035.29 = 129,929.28/x
  3. Step 3: Cross multiply
    231,902.97x = 320,035.29 × 129,929.28
  4. Step 4: Simplify right side
    231,902.97x = 41,581,954,804.29
  5. Step 5: Solve for x
    x = 41,581,954,804.29/231,902.97
  6. Step 6: Final answer
    x = 179,307.56

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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.