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Finding the Fourth Proportional to 280,742.78, 420,989.13 and 81,015.73

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Solution

The fourth proportional to 280,742.78, 420,989.13 and 81,015.73 is: 121,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,742.78 : 420,989.13 = 81,015.73 : x
  2. Step 2: Convert to fraction form
    280,742.78/420,989.13 = 81,015.73/x
  3. Step 3: Cross multiply
    280,742.78x = 420,989.13 × 81,015.73
  4. Step 4: Simplify right side
    280,742.78x = 34,106,740,636.54
  5. Step 5: Solve for x
    x = 34,106,740,636.54/280,742.78
  6. Step 6: Final answer
    x = 121,487.51

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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.