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Finding the Fourth Proportional to 235,986, 325,660.68 and 130,002

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Solution

The fourth proportional to 235,986, 325,660.68 and 130,002 is: 179,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,986 : 325,660.68 = 130,002 : x
  2. Step 2: Convert to fraction form
    235,986/325,660.68 = 130,002/x
  3. Step 3: Cross multiply
    235,986x = 325,660.68 × 130,002
  4. Step 4: Simplify right side
    235,986x = 42,336,539,721.36
  5. Step 5: Solve for x
    x = 42,336,539,721.36/235,986
  6. Step 6: Final answer
    x = 179,402.76

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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.