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Finding the Fourth Proportional to 202,112.10, 278,916.90 and 111,471.90

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Solution

The fourth proportional to 202,112.10, 278,916.90 and 111,471.90 is: 153,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112.10 : 278,916.90 = 111,471.90 : x
  2. Step 2: Convert to fraction form
    202,112.10/278,916.90 = 111,471.90/x
  3. Step 3: Cross multiply
    202,112.10x = 278,916.90 × 111,471.90
  4. Step 4: Simplify right side
    202,112.10x = 31,091,396,785.11
  5. Step 5: Solve for x
    x = 31,091,396,785.11/202,112.10
  6. Step 6: Final answer
    x = 153,832.44

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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.