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Finding the Fourth Proportional to 111,798.56, 154,267.99 and 75,578.81

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Solution

The fourth proportional to 111,798.56, 154,267.99 and 75,578.81 is: 104,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,798.56 : 154,267.99 = 75,578.81 : x
  2. Step 2: Convert to fraction form
    111,798.56/154,267.99 = 75,578.81/x
  3. Step 3: Cross multiply
    111,798.56x = 154,267.99 × 75,578.81
  4. Step 4: Simplify right side
    111,798.56x = 11,659,390,145.00
  5. Step 5: Solve for x
    x = 11,659,390,145.00/111,798.56
  6. Step 6: Final answer
    x = 104,289.27

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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.