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Finding the Fourth Proportional to 202,958.40, 280,078.40 and 112,314.30

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Solution

The fourth proportional to 202,958.40, 280,078.40 and 112,314.30 is: 154,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,958.40 : 280,078.40 = 112,314.30 : x
  2. Step 2: Convert to fraction form
    202,958.40/280,078.40 = 112,314.30/x
  3. Step 3: Cross multiply
    202,958.40x = 280,078.40 × 112,314.30
  4. Step 4: Simplify right side
    202,958.40x = 31,456,809,441.12
  5. Step 5: Solve for x
    x = 31,456,809,441.12/202,958.40
  6. Step 6: Final answer
    x = 154,991.41

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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.