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Finding the Fourth Proportional to 203,149, 280,336.98 and 112,504.60

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Solution

The fourth proportional to 203,149, 280,336.98 and 112,504.60 is: 155,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,149 : 280,336.98 = 112,504.60 : x
  2. Step 2: Convert to fraction form
    203,149/280,336.98 = 112,504.60/x
  3. Step 3: Cross multiply
    203,149x = 280,336.98 × 112,504.60
  4. Step 4: Simplify right side
    203,149x = 31,539,199,800.11
  5. Step 5: Solve for x
    x = 31,539,199,800.11/203,149
  6. Step 6: Final answer
    x = 155,251.56

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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.