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Finding the Fourth Proportional to 354,441.66, 531,662.49 and 105,121.50

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Solution

The fourth proportional to 354,441.66, 531,662.49 and 105,121.50 is: 157,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,441.66 : 531,662.49 = 105,121.50 : x
  2. Step 2: Convert to fraction form
    354,441.66/531,662.49 = 105,121.50/x
  3. Step 3: Cross multiply
    354,441.66x = 531,662.49 × 105,121.50
  4. Step 4: Simplify right side
    354,441.66x = 55,889,158,442.54
  5. Step 5: Solve for x
    x = 55,889,158,442.54/354,441.66
  6. Step 6: Final answer
    x = 157,682.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.