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Finding the Fourth Proportional to 100,033.96, 138,096.99 and 77,321.62

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Solution

The fourth proportional to 100,033.96, 138,096.99 and 77,321.62 is: 106,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.96 : 138,096.99 = 77,321.62 : x
  2. Step 2: Convert to fraction form
    100,033.96/138,096.99 = 77,321.62/x
  3. Step 3: Cross multiply
    100,033.96x = 138,096.99 × 77,321.62
  4. Step 4: Simplify right side
    100,033.96x = 10,677,882,983.92
  5. Step 5: Solve for x
    x = 10,677,882,983.92/100,033.96
  6. Step 6: Final answer
    x = 106,742.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.