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Finding the Fourth Proportional to 57,371.76, 79,172.88 and 31,878.02

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Solution

The fourth proportional to 57,371.76, 79,172.88 and 31,878.02 is: 43,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,371.76 : 79,172.88 = 31,878.02 : x
  2. Step 2: Convert to fraction form
    57,371.76/79,172.88 = 31,878.02/x
  3. Step 3: Cross multiply
    57,371.76x = 79,172.88 × 31,878.02
  4. Step 4: Simplify right side
    57,371.76x = 2,523,874,730.49
  5. Step 5: Solve for x
    x = 2,523,874,730.49/57,371.76
  6. Step 6: Final answer
    x = 43,991.59

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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.