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Finding the Fourth Proportional to 202,540, 279,504.08 and 111,902.16

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Solution

The fourth proportional to 202,540, 279,504.08 and 111,902.16 is: 154,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540 : 279,504.08 = 111,902.16 : x
  2. Step 2: Convert to fraction form
    202,540/279,504.08 = 111,902.16/x
  3. Step 3: Cross multiply
    202,540x = 279,504.08 × 111,902.16
  4. Step 4: Simplify right side
    202,540x = 31,277,110,280.81
  5. Step 5: Solve for x
    x = 31,277,110,280.81/202,540
  6. Step 6: Final answer
    x = 154,424.36

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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.