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Finding the Fourth Proportional to 72,987.78, 100,723.32 and 41,157.22

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Solution

The fourth proportional to 72,987.78, 100,723.32 and 41,157.22 is: 56,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987.78 : 100,723.32 = 41,157.22 : x
  2. Step 2: Convert to fraction form
    72,987.78/100,723.32 = 41,157.22/x
  3. Step 3: Cross multiply
    72,987.78x = 100,723.32 × 41,157.22
  4. Step 4: Simplify right side
    72,987.78x = 4,145,491,840.37
  5. Step 5: Solve for x
    x = 4,145,491,840.37/72,987.78
  6. Step 6: Final answer
    x = 56,797.07

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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.