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Finding the Fourth Proportional to 45,771.42, 68,772.15 and 29,138.88

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Solution

The fourth proportional to 45,771.42, 68,772.15 and 29,138.88 is: 43,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771.42 : 68,772.15 = 29,138.88 : x
  2. Step 2: Convert to fraction form
    45,771.42/68,772.15 = 29,138.88/x
  3. Step 3: Cross multiply
    45,771.42x = 68,772.15 × 29,138.88
  4. Step 4: Simplify right side
    45,771.42x = 2,003,943,426.19
  5. Step 5: Solve for x
    x = 2,003,943,426.19/45,771.42
  6. Step 6: Final answer
    x = 43,781.54

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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.