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Finding the Fourth Proportional to 208,955.76, 313,423.92 and 51,175.86

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Solution

The fourth proportional to 208,955.76, 313,423.92 and 51,175.86 is: 76,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,955.76 : 313,423.92 = 51,175.86 : x
  2. Step 2: Convert to fraction form
    208,955.76/313,423.92 = 51,175.86/x
  3. Step 3: Cross multiply
    208,955.76x = 313,423.92 × 51,175.86
  4. Step 4: Simplify right side
    208,955.76x = 16,039,738,650.57
  5. Step 5: Solve for x
    x = 16,039,738,650.57/208,955.76
  6. Step 6: Final answer
    x = 76,761.41

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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.