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Finding the Fourth Proportional to 258,853.32, 388,279.68 and 81,375.84

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Solution

The fourth proportional to 258,853.32, 388,279.68 and 81,375.84 is: 122,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,853.32 : 388,279.68 = 81,375.84 : x
  2. Step 2: Convert to fraction form
    258,853.32/388,279.68 = 81,375.84/x
  3. Step 3: Cross multiply
    258,853.32x = 388,279.68 × 81,375.84
  4. Step 4: Simplify right side
    258,853.32x = 31,596,585,114.93
  5. Step 5: Solve for x
    x = 31,596,585,114.93/258,853.32
  6. Step 6: Final answer
    x = 122,063.67

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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.