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Finding the Fourth Proportional to 211,497.81, 317,245.92 and 51,571.90

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Solution

The fourth proportional to 211,497.81, 317,245.92 and 51,571.90 is: 77,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,497.81 : 317,245.92 = 51,571.90 : x
  2. Step 2: Convert to fraction form
    211,497.81/317,245.92 = 51,571.90/x
  3. Step 3: Cross multiply
    211,497.81x = 317,245.92 × 51,571.90
  4. Step 4: Simplify right side
    211,497.81x = 16,360,974,861.65
  5. Step 5: Solve for x
    x = 16,360,974,861.65/211,497.81
  6. Step 6: Final answer
    x = 77,357.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.