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Finding the Fourth Proportional to 81,740, 121,894.70 and 80,992.64

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Solution

The fourth proportional to 81,740, 121,894.70 and 80,992.64 is: 120,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740 : 121,894.70 = 80,992.64 : x
  2. Step 2: Convert to fraction form
    81,740/121,894.70 = 80,992.64/x
  3. Step 3: Cross multiply
    81,740x = 121,894.70 × 80,992.64
  4. Step 4: Simplify right side
    81,740x = 9,872,573,555.01
  5. Step 5: Solve for x
    x = 9,872,573,555.01/81,740
  6. Step 6: Final answer
    x = 120,780.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.