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Finding the Fourth Proportional to 111,780, 154,178.28 and 73,527.48

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Solution

The fourth proportional to 111,780, 154,178.28 and 73,527.48 is: 101,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,780 : 154,178.28 = 73,527.48 : x
  2. Step 2: Convert to fraction form
    111,780/154,178.28 = 73,527.48/x
  3. Step 3: Cross multiply
    111,780x = 154,178.28 × 73,527.48
  4. Step 4: Simplify right side
    111,780x = 11,336,340,399.13
  5. Step 5: Solve for x
    x = 11,336,340,399.13/111,780
  6. Step 6: Final answer
    x = 101,416.54

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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.