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Finding the Fourth Proportional to 76,863, 106,072.56 and 43,329

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Solution

The fourth proportional to 76,863, 106,072.56 and 43,329 is: 59,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863 : 106,072.56 = 43,329 : x
  2. Step 2: Convert to fraction form
    76,863/106,072.56 = 43,329/x
  3. Step 3: Cross multiply
    76,863x = 106,072.56 × 43,329
  4. Step 4: Simplify right side
    76,863x = 4,596,017,952.24
  5. Step 5: Solve for x
    x = 4,596,017,952.24/76,863
  6. Step 6: Final answer
    x = 59,794.93

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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.