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Finding the Fourth Proportional to 57,067.68, 78,753.18 and 31,917.12

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Solution

The fourth proportional to 57,067.68, 78,753.18 and 31,917.12 is: 44,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,067.68 : 78,753.18 = 31,917.12 : x
  2. Step 2: Convert to fraction form
    57,067.68/78,753.18 = 31,917.12/x
  3. Step 3: Cross multiply
    57,067.68x = 78,753.18 × 31,917.12
  4. Step 4: Simplify right side
    57,067.68x = 2,513,574,696.44
  5. Step 5: Solve for x
    x = 2,513,574,696.44/57,067.68
  6. Step 6: Final answer
    x = 44,045.50

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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.