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Finding the Fourth Proportional to 56,321.88, 77,723.10 and 31,171.56

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Solution

The fourth proportional to 56,321.88, 77,723.10 and 31,171.56 is: 43,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,321.88 : 77,723.10 = 31,171.56 : x
  2. Step 2: Convert to fraction form
    56,321.88/77,723.10 = 31,171.56/x
  3. Step 3: Cross multiply
    56,321.88x = 77,723.10 × 31,171.56
  4. Step 4: Simplify right side
    56,321.88x = 2,422,750,275.04
  5. Step 5: Solve for x
    x = 2,422,750,275.04/56,321.88
  6. Step 6: Final answer
    x = 43,016.15

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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.