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Finding the Fourth Proportional to 258,764, 388,146 and 71,775.50

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Solution

The fourth proportional to 258,764, 388,146 and 71,775.50 is: 107,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,764 : 388,146 = 71,775.50 : x
  2. Step 2: Convert to fraction form
    258,764/388,146 = 71,775.50/x
  3. Step 3: Cross multiply
    258,764x = 388,146 × 71,775.50
  4. Step 4: Simplify right side
    258,764x = 27,859,373,223
  5. Step 5: Solve for x
    x = 27,859,373,223/258,764
  6. Step 6: Final answer
    x = 107,663.25

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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.