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Finding the Fourth Proportional to 57,928, 79,940.64 and 31,432

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Solution

The fourth proportional to 57,928, 79,940.64 and 31,432 is: 43,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,928 : 79,940.64 = 31,432 : x
  2. Step 2: Convert to fraction form
    57,928/79,940.64 = 31,432/x
  3. Step 3: Cross multiply
    57,928x = 79,940.64 × 31,432
  4. Step 4: Simplify right side
    57,928x = 2,512,694,196.48
  5. Step 5: Solve for x
    x = 2,512,694,196.48/57,928
  6. Step 6: Final answer
    x = 43,376.16

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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.