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Finding the Fourth Proportional to 45,854.64, 68,723.64 and 20,908.26

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Solution

The fourth proportional to 45,854.64, 68,723.64 and 20,908.26 is: 31,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854.64 : 68,723.64 = 20,908.26 : x
  2. Step 2: Convert to fraction form
    45,854.64/68,723.64 = 20,908.26/x
  3. Step 3: Cross multiply
    45,854.64x = 68,723.64 × 20,908.26
  4. Step 4: Simplify right side
    45,854.64x = 1,436,891,733.27
  5. Step 5: Solve for x
    x = 1,436,891,733.27/45,854.64
  6. Step 6: Final answer
    x = 31,335.80

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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.