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Finding the Fourth Proportional to 202,112.82, 278,912.16 and 111,477.47

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Solution

The fourth proportional to 202,112.82, 278,912.16 and 111,477.47 is: 153,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112.82 : 278,912.16 = 111,477.47 : x
  2. Step 2: Convert to fraction form
    202,112.82/278,912.16 = 111,477.47/x
  3. Step 3: Cross multiply
    202,112.82x = 278,912.16 × 111,477.47
  4. Step 4: Simplify right side
    202,112.82x = 31,092,420,554.47
  5. Step 5: Solve for x
    x = 31,092,420,554.47/202,112.82
  6. Step 6: Final answer
    x = 153,836.95

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1.5x scale

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.