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Finding the Fourth Proportional to 111,833.75, 154,155.50 and 75,961.49

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Solution

The fourth proportional to 111,833.75, 154,155.50 and 75,961.49 is: 104,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,833.75 : 154,155.50 = 75,961.49 : x
  2. Step 2: Convert to fraction form
    111,833.75/154,155.50 = 75,961.49/x
  3. Step 3: Cross multiply
    111,833.75x = 154,155.50 × 75,961.49
  4. Step 4: Simplify right side
    111,833.75x = 11,709,880,321.11
  5. Step 5: Solve for x
    x = 11,709,880,321.11/111,833.75
  6. Step 6: Final answer
    x = 104,707.93

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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.