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Finding the Fourth Proportional to 81,742, 121,897.68 and 80,994.64

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Solution

The fourth proportional to 81,742, 121,897.68 and 80,994.64 is: 120,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,742 : 121,897.68 = 80,994.64 : x
  2. Step 2: Convert to fraction form
    81,742/121,897.68 = 80,994.64/x
  3. Step 3: Cross multiply
    81,742x = 121,897.68 × 80,994.64
  4. Step 4: Simplify right side
    81,742x = 9,873,058,708.44
  5. Step 5: Solve for x
    x = 9,873,058,708.44/81,742
  6. Step 6: Final answer
    x = 120,783.18

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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.