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Finding the Fourth Proportional to 203,566.80, 280,804.64 and 126,952.92

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Solution

The fourth proportional to 203,566.80, 280,804.64 and 126,952.92 is: 175,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,566.80 : 280,804.64 = 126,952.92 : x
  2. Step 2: Convert to fraction form
    203,566.80/280,804.64 = 126,952.92/x
  3. Step 3: Cross multiply
    203,566.80x = 280,804.64 × 126,952.92
  4. Step 4: Simplify right side
    203,566.80x = 35,648,967,593.53
  5. Step 5: Solve for x
    x = 35,648,967,593.53/203,566.80
  6. Step 6: Final answer
    x = 175,121.72

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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.