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Finding the Fourth Proportional to 202,016.37, 278,784.54 and 111,375.66

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Solution

The fourth proportional to 202,016.37, 278,784.54 and 111,375.66 is: 153,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.37 : 278,784.54 = 111,375.66 : x
  2. Step 2: Convert to fraction form
    202,016.37/278,784.54 = 111,375.66/x
  3. Step 3: Cross multiply
    202,016.37x = 278,784.54 × 111,375.66
  4. Step 4: Simplify right side
    202,016.37x = 31,049,812,140.30
  5. Step 5: Solve for x
    x = 31,049,812,140.30/202,016.37
  6. Step 6: Final answer
    x = 153,699.49

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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.