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Finding the Fourth Proportional to 202,130.40, 303,414.30 and 113,556.90

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Solution

The fourth proportional to 202,130.40, 303,414.30 and 113,556.90 is: 170,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,130.40 : 303,414.30 = 113,556.90 : x
  2. Step 2: Convert to fraction form
    202,130.40/303,414.30 = 113,556.90/x
  3. Step 3: Cross multiply
    202,130.40x = 303,414.30 × 113,556.90
  4. Step 4: Simplify right side
    202,130.40x = 34,454,787,323.67
  5. Step 5: Solve for x
    x = 34,454,787,323.67/202,130.40
  6. Step 6: Final answer
    x = 170,458.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.