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Finding the Fourth Proportional to 51,803.78, 71,489.11 and 29,142.78

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Solution

The fourth proportional to 51,803.78, 71,489.11 and 29,142.78 is: 40,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.78 : 71,489.11 = 29,142.78 : x
  2. Step 2: Convert to fraction form
    51,803.78/71,489.11 = 29,142.78/x
  3. Step 3: Cross multiply
    51,803.78x = 71,489.11 × 29,142.78
  4. Step 4: Simplify right side
    51,803.78x = 2,083,391,405.13
  5. Step 5: Solve for x
    x = 2,083,391,405.13/51,803.78
  6. Step 6: Final answer
    x = 40,216.98

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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.