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Finding the Fourth Proportional to 203,463.80, 280,783.41 and 112,823.59

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Solution

The fourth proportional to 203,463.80, 280,783.41 and 112,823.59 is: 155,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.80 : 280,783.41 = 112,823.59 : x
  2. Step 2: Convert to fraction form
    203,463.80/280,783.41 = 112,823.59/x
  3. Step 3: Cross multiply
    203,463.80x = 280,783.41 × 112,823.59
  4. Step 4: Simplify right side
    203,463.80x = 31,678,992,328.64
  5. Step 5: Solve for x
    x = 31,678,992,328.64/203,463.80
  6. Step 6: Final answer
    x = 155,698.42

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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.