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Finding the Fourth Proportional to 56,687.25, 78,228.41 and 31,536.75

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Solution

The fourth proportional to 56,687.25, 78,228.41 and 31,536.75 is: 43,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.25 : 78,228.41 = 31,536.75 : x
  2. Step 2: Convert to fraction form
    56,687.25/78,228.41 = 31,536.75/x
  3. Step 3: Cross multiply
    56,687.25x = 78,228.41 × 31,536.75
  4. Step 4: Simplify right side
    56,687.25x = 2,467,069,651.38
  5. Step 5: Solve for x
    x = 2,467,069,651.38/56,687.25
  6. Step 6: Final answer
    x = 43,520.72

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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.