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Finding the Fourth Proportional to 80,900.94, 121,357.17 and 25,495.50

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Solution

The fourth proportional to 80,900.94, 121,357.17 and 25,495.50 is: 38,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,900.94 : 121,357.17 = 25,495.50 : x
  2. Step 2: Convert to fraction form
    80,900.94/121,357.17 = 25,495.50/x
  3. Step 3: Cross multiply
    80,900.94x = 121,357.17 × 25,495.50
  4. Step 4: Simplify right side
    80,900.94x = 3,094,061,727.74
  5. Step 5: Solve for x
    x = 3,094,061,727.74/80,900.94
  6. Step 6: Final answer
    x = 38,245.07

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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.