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Finding the Fourth Proportional to 51,750, 71,415 and 29,398.32

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Solution

The fourth proportional to 51,750, 71,415 and 29,398.32 is: 40,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,750 : 71,415 = 29,398.32 : x
  2. Step 2: Convert to fraction form
    51,750/71,415 = 29,398.32/x
  3. Step 3: Cross multiply
    51,750x = 71,415 × 29,398.32
  4. Step 4: Simplify right side
    51,750x = 2,099,481,022.80
  5. Step 5: Solve for x
    x = 2,099,481,022.80/51,750
  6. Step 6: Final answer
    x = 40,569.68

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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.