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Finding the Fourth Proportional to 57,919, 79,928.22 and 31,423

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Solution

The fourth proportional to 57,919, 79,928.22 and 31,423 is: 43,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,919 : 79,928.22 = 31,423 : x
  2. Step 2: Convert to fraction form
    57,919/79,928.22 = 31,423/x
  3. Step 3: Cross multiply
    57,919x = 79,928.22 × 31,423
  4. Step 4: Simplify right side
    57,919x = 2,511,584,457.06
  5. Step 5: Solve for x
    x = 2,511,584,457.06/57,919
  6. Step 6: Final answer
    x = 43,363.74

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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.