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Finding the Fourth Proportional to 57,908, 79,913.36 and 31,412

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Solution

The fourth proportional to 57,908, 79,913.36 and 31,412 is: 43,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,908 : 79,913.36 = 31,412 : x
  2. Step 2: Convert to fraction form
    57,908/79,913.36 = 31,412/x
  3. Step 3: Cross multiply
    57,908x = 79,913.36 × 31,412
  4. Step 4: Simplify right side
    57,908x = 2,510,238,464.32
  5. Step 5: Solve for x
    x = 2,510,238,464.32/57,908
  6. Step 6: Final answer
    x = 43,348.73

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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.