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Finding the Fourth Proportional to 280,851.20, 421,276.80 and 81,178.10

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Solution

The fourth proportional to 280,851.20, 421,276.80 and 81,178.10 is: 121,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,851.20 : 421,276.80 = 81,178.10 : x
  2. Step 2: Convert to fraction form
    280,851.20/421,276.80 = 81,178.10/x
  3. Step 3: Cross multiply
    280,851.20x = 421,276.80 × 81,178.10
  4. Step 4: Simplify right side
    280,851.20x = 34,198,450,198.08
  5. Step 5: Solve for x
    x = 34,198,450,198.08/280,851.20
  6. Step 6: Final answer
    x = 121,767.15

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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.