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Finding the Fourth Proportional to 280,775.34, 421,101.14 and 81,052.34

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Solution

The fourth proportional to 280,775.34, 421,101.14 and 81,052.34 is: 121,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,775.34 : 421,101.14 = 81,052.34 : x
  2. Step 2: Convert to fraction form
    280,775.34/421,101.14 = 81,052.34/x
  3. Step 3: Cross multiply
    280,775.34x = 421,101.14 × 81,052.34
  4. Step 4: Simplify right side
    280,775.34x = 34,131,230,262.90
  5. Step 5: Solve for x
    x = 34,131,230,262.90/280,775.34
  6. Step 6: Final answer
    x = 121,560.64

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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.