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Finding the Fourth Proportional to 34,108.31, 51,194.46 and 20,986.31

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Solution

The fourth proportional to 34,108.31, 51,194.46 and 20,986.31 is: 31,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,108.31 : 51,194.46 = 20,986.31 : x
  2. Step 2: Convert to fraction form
    34,108.31/51,194.46 = 20,986.31/x
  3. Step 3: Cross multiply
    34,108.31x = 51,194.46 × 20,986.31
  4. Step 4: Simplify right side
    34,108.31x = 1,074,382,807.84
  5. Step 5: Solve for x
    x = 1,074,382,807.84/34,108.31
  6. Step 6: Final answer
    x = 31,499.15

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1.5x scale

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.