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Finding the Fourth Proportional to 81,184.80, 121,796.40 and 25,780.80

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Solution

The fourth proportional to 81,184.80, 121,796.40 and 25,780.80 is: 38,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,184.80 : 121,796.40 = 25,780.80 : x
  2. Step 2: Convert to fraction form
    81,184.80/121,796.40 = 25,780.80/x
  3. Step 3: Cross multiply
    81,184.80x = 121,796.40 × 25,780.80
  4. Step 4: Simplify right side
    81,184.80x = 3,140,008,629.12
  5. Step 5: Solve for x
    x = 3,140,008,629.12/81,184.80
  6. Step 6: Final answer
    x = 38,677.30

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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.