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Finding the Fourth Proportional to 56,251.75, 77,629.04 and 31,102.87

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Solution

The fourth proportional to 56,251.75, 77,629.04 and 31,102.87 is: 42,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,251.75 : 77,629.04 = 31,102.87 : x
  2. Step 2: Convert to fraction form
    56,251.75/77,629.04 = 31,102.87/x
  3. Step 3: Cross multiply
    56,251.75x = 77,629.04 × 31,102.87
  4. Step 4: Simplify right side
    56,251.75x = 2,414,485,939.34
  5. Step 5: Solve for x
    x = 2,414,485,939.34/56,251.75
  6. Step 6: Final answer
    x = 42,922.86

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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.