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Finding the Fourth Proportional to 100,117.14, 137,935.08 and 82,183.74

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Solution

The fourth proportional to 100,117.14, 137,935.08 and 82,183.74 is: 113,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117.14 : 137,935.08 = 82,183.74 : x
  2. Step 2: Convert to fraction form
    100,117.14/137,935.08 = 82,183.74/x
  3. Step 3: Cross multiply
    100,117.14x = 137,935.08 × 82,183.74
  4. Step 4: Simplify right side
    100,117.14x = 11,336,020,751.60
  5. Step 5: Solve for x
    x = 11,336,020,751.60/100,117.14
  6. Step 6: Final answer
    x = 113,227.57

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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.