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Finding the Fourth Proportional to 203,452.39, 280,762.94 and 112,808.41

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Solution

The fourth proportional to 203,452.39, 280,762.94 and 112,808.41 is: 155,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,452.39 : 280,762.94 = 112,808.41 : x
  2. Step 2: Convert to fraction form
    203,452.39/280,762.94 = 112,808.41/x
  3. Step 3: Cross multiply
    203,452.39x = 280,762.94 × 112,808.41
  4. Step 4: Simplify right side
    203,452.39x = 31,672,420,284.28
  5. Step 5: Solve for x
    x = 31,672,420,284.28/203,452.39
  6. Step 6: Final answer
    x = 155,674.85

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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.