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Finding the Fourth Proportional to 235,120, 324,465.52 and 127,690.06

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Solution

The fourth proportional to 235,120, 324,465.52 and 127,690.06 is: 176,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,120 : 324,465.52 = 127,690.06 : x
  2. Step 2: Convert to fraction form
    235,120/324,465.52 = 127,690.06/x
  3. Step 3: Cross multiply
    235,120x = 324,465.52 × 127,690.06
  4. Step 4: Simplify right side
    235,120x = 41,431,021,716.73
  5. Step 5: Solve for x
    x = 41,431,021,716.73/235,120
  6. Step 6: Final answer
    x = 176,212.24

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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.