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Finding the Fourth Proportional to 51,903.80, 71,628.67 and 31,760.31

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Solution

The fourth proportional to 51,903.80, 71,628.67 and 31,760.31 is: 43,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.80 : 71,628.67 = 31,760.31 : x
  2. Step 2: Convert to fraction form
    51,903.80/71,628.67 = 31,760.31/x
  3. Step 3: Cross multiply
    51,903.80x = 71,628.67 × 31,760.31
  4. Step 4: Simplify right side
    51,903.80x = 2,274,948,764.09
  5. Step 5: Solve for x
    x = 2,274,948,764.09/51,903.80
  6. Step 6: Final answer
    x = 43,830.10

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1.5x scale

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.