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Finding the Fourth Proportional to 81,987.96, 122,986.02 and 37,594.56

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Solution

The fourth proportional to 81,987.96, 122,986.02 and 37,594.56 is: 56,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,987.96 : 122,986.02 = 37,594.56 : x
  2. Step 2: Convert to fraction form
    81,987.96/122,986.02 = 37,594.56/x
  3. Step 3: Cross multiply
    81,987.96x = 122,986.02 × 37,594.56
  4. Step 4: Simplify right side
    81,987.96x = 4,623,605,308.05
  5. Step 5: Solve for x
    x = 4,623,605,308.05/81,987.96
  6. Step 6: Final answer
    x = 56,393.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.