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Finding the Fourth Proportional to 259,266, 388,886 and 101,523.36

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Solution

The fourth proportional to 259,266, 388,886 and 101,523.36 is: 152,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,266 : 388,886 = 101,523.36 : x
  2. Step 2: Convert to fraction form
    259,266/388,886 = 101,523.36/x
  3. Step 3: Cross multiply
    259,266x = 388,886 × 101,523.36
  4. Step 4: Simplify right side
    259,266x = 39,481,013,376.96
  5. Step 5: Solve for x
    x = 39,481,013,376.96/259,266
  6. Step 6: Final answer
    x = 152,279.95

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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.