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Finding the Fourth Proportional to 100,286.10, 140,138.10 and 100,286.10

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Solution

The fourth proportional to 100,286.10, 140,138.10 and 100,286.10 is: 140,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.10 : 140,138.10 = 100,286.10 : x
  2. Step 2: Convert to fraction form
    100,286.10/140,138.10 = 100,286.10/x
  3. Step 3: Cross multiply
    100,286.10x = 140,138.10 × 100,286.10
  4. Step 4: Simplify right side
    100,286.10x = 14,053,903,510.41
  5. Step 5: Solve for x
    x = 14,053,903,510.41/100,286.10
  6. Step 6: Final answer
    x = 140,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.