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Finding the Fourth Proportional to 76,750.20, 105,915.18 and 43,216.44

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Solution

The fourth proportional to 76,750.20, 105,915.18 and 43,216.44 is: 59,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.20 : 105,915.18 = 43,216.44 : x
  2. Step 2: Convert to fraction form
    76,750.20/105,915.18 = 43,216.44/x
  3. Step 3: Cross multiply
    76,750.20x = 105,915.18 × 43,216.44
  4. Step 4: Simplify right side
    76,750.20x = 4,577,277,021.56
  5. Step 5: Solve for x
    x = 4,577,277,021.56/76,750.20
  6. Step 6: Final answer
    x = 59,638.63

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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.