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Finding the Fourth Proportional to 76,872.72, 106,098.84 and 43,338.72

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Solution

The fourth proportional to 76,872.72, 106,098.84 and 43,338.72 is: 59,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872.72 : 106,098.84 = 43,338.72 : x
  2. Step 2: Convert to fraction form
    76,872.72/106,098.84 = 43,338.72/x
  3. Step 3: Cross multiply
    76,872.72x = 106,098.84 × 43,338.72
  4. Step 4: Simplify right side
    76,872.72x = 4,598,187,919.08
  5. Step 5: Solve for x
    x = 4,598,187,919.08/76,872.72
  6. Step 6: Final answer
    x = 59,815.60

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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.