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Finding the Fourth Proportional to 81,651.65, 122,469.82 and 28,335.34

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Solution

The fourth proportional to 81,651.65, 122,469.82 and 28,335.34 is: 42,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.65 : 122,469.82 = 28,335.34 : x
  2. Step 2: Convert to fraction form
    81,651.65/122,469.82 = 28,335.34/x
  3. Step 3: Cross multiply
    81,651.65x = 122,469.82 × 28,335.34
  4. Step 4: Simplify right side
    81,651.65x = 3,470,223,612.43
  5. Step 5: Solve for x
    x = 3,470,223,612.43/81,651.65
  6. Step 6: Final answer
    x = 42,500.35

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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.