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Finding the Fourth Proportional to 51,977.70, 71,721.27 and 29,315.70

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Solution

The fourth proportional to 51,977.70, 71,721.27 and 29,315.70 is: 40,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.70 : 71,721.27 = 29,315.70 : x
  2. Step 2: Convert to fraction form
    51,977.70/71,721.27 = 29,315.70/x
  3. Step 3: Cross multiply
    51,977.70x = 71,721.27 × 29,315.70
  4. Step 4: Simplify right side
    51,977.70x = 2,102,559,234.94
  5. Step 5: Solve for x
    x = 2,102,559,234.94/51,977.70
  6. Step 6: Final answer
    x = 40,451.18

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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.