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Finding the Fourth Proportional to 57,806.50, 79,772.97 and 31,310.50

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Solution

The fourth proportional to 57,806.50, 79,772.97 and 31,310.50 is: 43,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.50 : 79,772.97 = 31,310.50 : x
  2. Step 2: Convert to fraction form
    57,806.50/79,772.97 = 31,310.50/x
  3. Step 3: Cross multiply
    57,806.50x = 79,772.97 × 31,310.50
  4. Step 4: Simplify right side
    57,806.50x = 2,497,731,577.19
  5. Step 5: Solve for x
    x = 2,497,731,577.19/57,806.50
  6. Step 6: Final answer
    x = 43,208.49

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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.