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Finding the Fourth Proportional to 76,846, 106,049.10 and 43,312

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Solution

The fourth proportional to 76,846, 106,049.10 and 43,312 is: 59,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846 : 106,049.10 = 43,312 : x
  2. Step 2: Convert to fraction form
    76,846/106,049.10 = 43,312/x
  3. Step 3: Cross multiply
    76,846x = 106,049.10 × 43,312
  4. Step 4: Simplify right side
    76,846x = 4,593,198,619.20
  5. Step 5: Solve for x
    x = 4,593,198,619.20/76,846
  6. Step 6: Final answer
    x = 59,771.47

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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.