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Finding the Fourth Proportional to 125,165.78, 186,632.22 and 111,256.46

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Solution

The fourth proportional to 125,165.78, 186,632.22 and 111,256.46 is: 165,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,165.78 : 186,632.22 = 111,256.46 : x
  2. Step 2: Convert to fraction form
    125,165.78/186,632.22 = 111,256.46/x
  3. Step 3: Cross multiply
    125,165.78x = 186,632.22 × 111,256.46
  4. Step 4: Simplify right side
    125,165.78x = 20,764,040,119.14
  5. Step 5: Solve for x
    x = 20,764,040,119.14/125,165.78
  6. Step 6: Final answer
    x = 165,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.