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Finding the Fourth Proportional to 81,132.44, 121,698.75 and 21,160.88

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Solution

The fourth proportional to 81,132.44, 121,698.75 and 21,160.88 is: 31,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,132.44 : 121,698.75 = 21,160.88 : x
  2. Step 2: Convert to fraction form
    81,132.44/121,698.75 = 21,160.88/x
  3. Step 3: Cross multiply
    81,132.44x = 121,698.75 × 21,160.88
  4. Step 4: Simplify right side
    81,132.44x = 2,575,252,036.41
  5. Step 5: Solve for x
    x = 2,575,252,036.41/81,132.44
  6. Step 6: Final answer
    x = 31,741.34

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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.