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Finding the Fourth Proportional to 149,563.64, 206,398.46 and 81,582.08

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Solution

The fourth proportional to 149,563.64, 206,398.46 and 81,582.08 is: 112,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.64 : 206,398.46 = 81,582.08 : x
  2. Step 2: Convert to fraction form
    149,563.64/206,398.46 = 81,582.08/x
  3. Step 3: Cross multiply
    149,563.64x = 206,398.46 × 81,582.08
  4. Step 4: Simplify right side
    149,563.64x = 16,838,414,847.56
  5. Step 5: Solve for x
    x = 16,838,414,847.56/149,563.64
  6. Step 6: Final answer
    x = 112,583.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.