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Finding the Fourth Proportional to 80,933, 121,421.10 and 25,529

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Solution

The fourth proportional to 80,933, 121,421.10 and 25,529 is: 38,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,933 : 121,421.10 = 25,529 : x
  2. Step 2: Convert to fraction form
    80,933/121,421.10 = 25,529/x
  3. Step 3: Cross multiply
    80,933x = 121,421.10 × 25,529
  4. Step 4: Simplify right side
    80,933x = 3,099,759,261.90
  5. Step 5: Solve for x
    x = 3,099,759,261.90/80,933
  6. Step 6: Final answer
    x = 38,300.31

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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.