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Finding the Fourth Proportional to 51,013.80, 71,493.13 and 51,013.80

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Solution

The fourth proportional to 51,013.80, 71,493.13 and 51,013.80 is: 71,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,013.80 : 71,493.13 = 51,013.80 : x
  2. Step 2: Convert to fraction form
    51,013.80/71,493.13 = 51,013.80/x
  3. Step 3: Cross multiply
    51,013.80x = 71,493.13 × 51,013.80
  4. Step 4: Simplify right side
    51,013.80x = 3,647,136,298.96
  5. Step 5: Solve for x
    x = 3,647,136,298.96/51,013.80
  6. Step 6: Final answer
    x = 71,493.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.