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Finding the Fourth Proportional to 259,681.82, 389,696.69 and 91,202.76

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Solution

The fourth proportional to 259,681.82, 389,696.69 and 91,202.76 is: 136,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,681.82 : 389,696.69 = 91,202.76 : x
  2. Step 2: Convert to fraction form
    259,681.82/389,696.69 = 91,202.76/x
  3. Step 3: Cross multiply
    259,681.82x = 389,696.69 × 91,202.76
  4. Step 4: Simplify right side
    259,681.82x = 35,541,413,234.85
  5. Step 5: Solve for x
    x = 35,541,413,234.85/259,681.82
  6. Step 6: Final answer
    x = 136,865.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.