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Finding the Fourth Proportional to 56,671, 78,205.98 and 31,519.96

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Solution

The fourth proportional to 56,671, 78,205.98 and 31,519.96 is: 43,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671 : 78,205.98 = 31,519.96 : x
  2. Step 2: Convert to fraction form
    56,671/78,205.98 = 31,519.96/x
  3. Step 3: Cross multiply
    56,671x = 78,205.98 × 31,519.96
  4. Step 4: Simplify right side
    56,671x = 2,465,049,361.36
  5. Step 5: Solve for x
    x = 2,465,049,361.36/56,671
  6. Step 6: Final answer
    x = 43,497.54

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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.