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Finding the Fourth Proportional to 34,151.80, 51,260.10 and 21,029.80

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Solution

The fourth proportional to 34,151.80, 51,260.10 and 21,029.80 is: 31,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.80 : 51,260.10 = 21,029.80 : x
  2. Step 2: Convert to fraction form
    34,151.80/51,260.10 = 21,029.80/x
  3. Step 3: Cross multiply
    34,151.80x = 51,260.10 × 21,029.80
  4. Step 4: Simplify right side
    34,151.80x = 1,077,989,650.98
  5. Step 5: Solve for x
    x = 1,077,989,650.98/34,151.80
  6. Step 6: Final answer
    x = 31,564.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.