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Finding the Fourth Proportional to 101,512.20, 152,138.70 and 78,022.20

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Solution

The fourth proportional to 101,512.20, 152,138.70 and 78,022.20 is: 116,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,512.20 : 152,138.70 = 78,022.20 : x
  2. Step 2: Convert to fraction form
    101,512.20/152,138.70 = 78,022.20/x
  3. Step 3: Cross multiply
    101,512.20x = 152,138.70 × 78,022.20
  4. Step 4: Simplify right side
    101,512.20x = 11,870,196,079.14
  5. Step 5: Solve for x
    x = 11,870,196,079.14/101,512.20
  6. Step 6: Final answer
    x = 116,933.69

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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.