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Finding the Fourth Proportional to 81,141.90, 121,698.99 and 21,963.75

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Solution

The fourth proportional to 81,141.90, 121,698.99 and 21,963.75 is: 32,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,141.90 : 121,698.99 = 21,963.75 : x
  2. Step 2: Convert to fraction form
    81,141.90/121,698.99 = 21,963.75/x
  3. Step 3: Cross multiply
    81,141.90x = 121,698.99 × 21,963.75
  4. Step 4: Simplify right side
    81,141.90x = 2,672,966,191.61
  5. Step 5: Solve for x
    x = 2,672,966,191.61/81,141.90
  6. Step 6: Final answer
    x = 32,941.87

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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.