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Finding the Fourth Proportional to 203,509.96, 280,860.56 and 112,895.14

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Solution

The fourth proportional to 203,509.96, 280,860.56 and 112,895.14 is: 155,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,509.96 : 280,860.56 = 112,895.14 : x
  2. Step 2: Convert to fraction form
    203,509.96/280,860.56 = 112,895.14/x
  3. Step 3: Cross multiply
    203,509.96x = 280,860.56 × 112,895.14
  4. Step 4: Simplify right side
    203,509.96x = 31,707,792,241.68
  5. Step 5: Solve for x
    x = 31,707,792,241.68/203,509.96
  6. Step 6: Final answer
    x = 155,804.62

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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.