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Finding the Fourth Proportional to 202,322.67, 279,201.78 and 111,678.54

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Solution

The fourth proportional to 202,322.67, 279,201.78 and 111,678.54 is: 154,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,322.67 : 279,201.78 = 111,678.54 : x
  2. Step 2: Convert to fraction form
    202,322.67/279,201.78 = 111,678.54/x
  3. Step 3: Cross multiply
    202,322.67x = 279,201.78 × 111,678.54
  4. Step 4: Simplify right side
    202,322.67x = 31,180,847,155.80
  5. Step 5: Solve for x
    x = 31,180,847,155.80/202,322.67
  6. Step 6: Final answer
    x = 154,114.45

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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.