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Finding the Fourth Proportional to 80,718, 121,096.48 and 25,314

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Solution

The fourth proportional to 80,718, 121,096.48 and 25,314 is: 37,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,718 : 121,096.48 = 25,314 : x
  2. Step 2: Convert to fraction form
    80,718/121,096.48 = 25,314/x
  3. Step 3: Cross multiply
    80,718x = 121,096.48 × 25,314
  4. Step 4: Simplify right side
    80,718x = 3,065,436,294.72
  5. Step 5: Solve for x
    x = 3,065,436,294.72/80,718
  6. Step 6: Final answer
    x = 37,977.11

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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.