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Finding the Fourth Proportional to 56,649, 78,175.62 and 31,497.96

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Solution

The fourth proportional to 56,649, 78,175.62 and 31,497.96 is: 43,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,649 : 78,175.62 = 31,497.96 : x
  2. Step 2: Convert to fraction form
    56,649/78,175.62 = 31,497.96/x
  3. Step 3: Cross multiply
    56,649x = 78,175.62 × 31,497.96
  4. Step 4: Simplify right side
    56,649x = 2,462,372,551.74
  5. Step 5: Solve for x
    x = 2,462,372,551.74/56,649
  6. Step 6: Final answer
    x = 43,467.18

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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.