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Finding the Fourth Proportional to 208,782.71, 313,171.34 and 51,012.53

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Solution

The fourth proportional to 208,782.71, 313,171.34 and 51,012.53 is: 76,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,782.71 : 313,171.34 = 51,012.53 : x
  2. Step 2: Convert to fraction form
    208,782.71/313,171.34 = 51,012.53/x
  3. Step 3: Cross multiply
    208,782.71x = 313,171.34 × 51,012.53
  4. Step 4: Simplify right side
    208,782.71x = 15,975,660,555.97
  5. Step 5: Solve for x
    x = 15,975,660,555.97/208,782.71
  6. Step 6: Final answer
    x = 76,518.12

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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.