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Finding the Fourth Proportional to 217,311.75, 299,891.30 and 126,730.53

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Solution

The fourth proportional to 217,311.75, 299,891.30 and 126,730.53 is: 174,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,311.75 : 299,891.30 = 126,730.53 : x
  2. Step 2: Convert to fraction form
    217,311.75/299,891.30 = 126,730.53/x
  3. Step 3: Cross multiply
    217,311.75x = 299,891.30 × 126,730.53
  4. Step 4: Simplify right side
    217,311.75x = 38,005,382,757.74
  5. Step 5: Solve for x
    x = 38,005,382,757.74/217,311.75
  6. Step 6: Final answer
    x = 174,888.76

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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.