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Finding the Fourth Proportional to 76,627.30, 114,872.55 and 29,869.30

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Solution

The fourth proportional to 76,627.30, 114,872.55 and 29,869.30 is: 44,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,627.30 : 114,872.55 = 29,869.30 : x
  2. Step 2: Convert to fraction form
    76,627.30/114,872.55 = 29,869.30/x
  3. Step 3: Cross multiply
    76,627.30x = 114,872.55 × 29,869.30
  4. Step 4: Simplify right side
    76,627.30x = 3,431,162,657.72
  5. Step 5: Solve for x
    x = 3,431,162,657.72/76,627.30
  6. Step 6: Final answer
    x = 44,777.29

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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.