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Finding the Fourth Proportional to 51,625, 71,254.25 and 30,411.10

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Solution

The fourth proportional to 51,625, 71,254.25 and 30,411.10 is: 41,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,625 : 71,254.25 = 30,411.10 : x
  2. Step 2: Convert to fraction form
    51,625/71,254.25 = 30,411.10/x
  3. Step 3: Cross multiply
    51,625x = 71,254.25 × 30,411.10
  4. Step 4: Simplify right side
    51,625x = 2,166,920,122.18
  5. Step 5: Solve for x
    x = 2,166,920,122.18/51,625
  6. Step 6: Final answer
    x = 41,974.24

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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.