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Finding the Fourth Proportional to 51,819, 71,510.22 and 29,463

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Solution

The fourth proportional to 51,819, 71,510.22 and 29,463 is: 40,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819 : 71,510.22 = 29,463 : x
  2. Step 2: Convert to fraction form
    51,819/71,510.22 = 29,463/x
  3. Step 3: Cross multiply
    51,819x = 71,510.22 × 29,463
  4. Step 4: Simplify right side
    51,819x = 2,106,905,611.86
  5. Step 5: Solve for x
    x = 2,106,905,611.86/51,819
  6. Step 6: Final answer
    x = 40,658.94

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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.