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Finding the Fourth Proportional to 51,538, 71,122.44 and 29,182

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Solution

The fourth proportional to 51,538, 71,122.44 and 29,182 is: 40,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538 : 71,122.44 = 29,182 : x
  2. Step 2: Convert to fraction form
    51,538/71,122.44 = 29,182/x
  3. Step 3: Cross multiply
    51,538x = 71,122.44 × 29,182
  4. Step 4: Simplify right side
    51,538x = 2,075,495,044.08
  5. Step 5: Solve for x
    x = 2,075,495,044.08/51,538
  6. Step 6: Final answer
    x = 40,271.16

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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.