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Finding the Fourth Proportional to 101,686, 152,498.20 and 30,589.80

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Solution

The fourth proportional to 101,686, 152,498.20 and 30,589.80 is: 45,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686 : 152,498.20 = 30,589.80 : x
  2. Step 2: Convert to fraction form
    101,686/152,498.20 = 30,589.80/x
  3. Step 3: Cross multiply
    101,686x = 152,498.20 × 30,589.80
  4. Step 4: Simplify right side
    101,686x = 4,664,889,438.36
  5. Step 5: Solve for x
    x = 4,664,889,438.36/101,686
  6. Step 6: Final answer
    x = 45,875.43

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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.