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Finding the Fourth Proportional to 280,954.90, 421,380.03 and 81,225.88

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Solution

The fourth proportional to 280,954.90, 421,380.03 and 81,225.88 is: 121,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.90 : 421,380.03 = 81,225.88 : x
  2. Step 2: Convert to fraction form
    280,954.90/421,380.03 = 81,225.88/x
  3. Step 3: Cross multiply
    280,954.90x = 421,380.03 × 81,225.88
  4. Step 4: Simplify right side
    280,954.90x = 34,226,963,751.18
  5. Step 5: Solve for x
    x = 34,226,963,751.18/280,954.90
  6. Step 6: Final answer
    x = 121,823.69

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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.