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Finding the Fourth Proportional to 81,086.88, 121,643.12 and 34,340

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Solution

The fourth proportional to 81,086.88, 121,643.12 and 34,340 is: 51,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,086.88 : 121,643.12 = 34,340 : x
  2. Step 2: Convert to fraction form
    81,086.88/121,643.12 = 34,340/x
  3. Step 3: Cross multiply
    81,086.88x = 121,643.12 × 34,340
  4. Step 4: Simplify right side
    81,086.88x = 4,177,224,740.80
  5. Step 5: Solve for x
    x = 4,177,224,740.80/81,086.88
  6. Step 6: Final answer
    x = 51,515.42

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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.