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Finding the Fourth Proportional to 258,769.71, 388,151.33 and 90,289.71

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Solution

The fourth proportional to 258,769.71, 388,151.33 and 90,289.71 is: 135,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,769.71 : 388,151.33 = 90,289.71 : x
  2. Step 2: Convert to fraction form
    258,769.71/388,151.33 = 90,289.71/x
  3. Step 3: Cross multiply
    258,769.71x = 388,151.33 × 90,289.71
  4. Step 4: Simplify right side
    258,769.71x = 35,046,070,570.37
  5. Step 5: Solve for x
    x = 35,046,070,570.37/258,769.71
  6. Step 6: Final answer
    x = 135,433.43

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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.