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Finding the Fourth Proportional to 100,858.70, 151,271.85 and 30,721.70

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Solution

The fourth proportional to 100,858.70, 151,271.85 and 30,721.70 is: 46,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.70 : 151,271.85 = 30,721.70 : x
  2. Step 2: Convert to fraction form
    100,858.70/151,271.85 = 30,721.70/x
  3. Step 3: Cross multiply
    100,858.70x = 151,271.85 × 30,721.70
  4. Step 4: Simplify right side
    100,858.70x = 4,647,328,394.15
  5. Step 5: Solve for x
    x = 4,647,328,394.15/100,858.70
  6. Step 6: Final answer
    x = 46,077.62

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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.