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Finding the Fourth Proportional to 235,032, 324,344.16 and 129,048

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Solution

The fourth proportional to 235,032, 324,344.16 and 129,048 is: 178,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,032 : 324,344.16 = 129,048 : x
  2. Step 2: Convert to fraction form
    235,032/324,344.16 = 129,048/x
  3. Step 3: Cross multiply
    235,032x = 324,344.16 × 129,048
  4. Step 4: Simplify right side
    235,032x = 41,855,965,159.68
  5. Step 5: Solve for x
    x = 41,855,965,159.68/235,032
  6. Step 6: Final answer
    x = 178,086.24

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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.