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Finding the Fourth Proportional to 56,612, 78,127.80 and 31,469.60

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Solution

The fourth proportional to 56,612, 78,127.80 and 31,469.60 is: 43,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,612 : 78,127.80 = 31,469.60 : x
  2. Step 2: Convert to fraction form
    56,612/78,127.80 = 31,469.60/x
  3. Step 3: Cross multiply
    56,612x = 78,127.80 × 31,469.60
  4. Step 4: Simplify right side
    56,612x = 2,458,650,614.88
  5. Step 5: Solve for x
    x = 2,458,650,614.88/56,612
  6. Step 6: Final answer
    x = 43,429.85

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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.