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Finding the Fourth Proportional to 80,977, 121,484.94 and 25,573

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Solution

The fourth proportional to 80,977, 121,484.94 and 25,573 is: 38,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,977 : 121,484.94 = 25,573 : x
  2. Step 2: Convert to fraction form
    80,977/121,484.94 = 25,573/x
  3. Step 3: Cross multiply
    80,977x = 121,484.94 × 25,573
  4. Step 4: Simplify right side
    80,977x = 3,106,734,370.62
  5. Step 5: Solve for x
    x = 3,106,734,370.62/80,977
  6. Step 6: Final answer
    x = 38,365.64

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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.