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Finding the Fourth Proportional to 81,191.98, 121,803.10 and 28,634.86

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Solution

The fourth proportional to 81,191.98, 121,803.10 and 28,634.86 is: 42,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,191.98 : 121,803.10 = 28,634.86 : x
  2. Step 2: Convert to fraction form
    81,191.98/121,803.10 = 28,634.86/x
  3. Step 3: Cross multiply
    81,191.98x = 121,803.10 × 28,634.86
  4. Step 4: Simplify right side
    81,191.98x = 3,487,814,716.07
  5. Step 5: Solve for x
    x = 3,487,814,716.07/81,191.98
  6. Step 6: Final answer
    x = 42,957.63

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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.