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Finding the Fourth Proportional to 101,980.87, 152,971.39 and 38,786.45

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Solution

The fourth proportional to 101,980.87, 152,971.39 and 38,786.45 is: 58,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.87 : 152,971.39 = 38,786.45 : x
  2. Step 2: Convert to fraction form
    101,980.87/152,971.39 = 38,786.45/x
  3. Step 3: Cross multiply
    101,980.87x = 152,971.39 × 38,786.45
  4. Step 4: Simplify right side
    101,980.87x = 5,933,216,235.12
  5. Step 5: Solve for x
    x = 5,933,216,235.12/101,980.87
  6. Step 6: Final answer
    x = 58,179.70

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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.