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Finding the Fourth Proportional to 111,940.92, 154,489.36 and 83,597.40

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Solution

The fourth proportional to 111,940.92, 154,489.36 and 83,597.40 is: 115,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,940.92 : 154,489.36 = 83,597.40 : x
  2. Step 2: Convert to fraction form
    111,940.92/154,489.36 = 83,597.40/x
  3. Step 3: Cross multiply
    111,940.92x = 154,489.36 × 83,597.40
  4. Step 4: Simplify right side
    111,940.92x = 12,914,908,823.66
  5. Step 5: Solve for x
    x = 12,914,908,823.66/111,940.92
  6. Step 6: Final answer
    x = 115,372.54

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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.