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Finding the Fourth Proportional to 76,915.37, 115,363.78 and 20,751.19

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Solution

The fourth proportional to 76,915.37, 115,363.78 and 20,751.19 is: 31,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,915.37 : 115,363.78 = 20,751.19 : x
  2. Step 2: Convert to fraction form
    76,915.37/115,363.78 = 20,751.19/x
  3. Step 3: Cross multiply
    76,915.37x = 115,363.78 × 20,751.19
  4. Step 4: Simplify right side
    76,915.37x = 2,393,935,377.61
  5. Step 5: Solve for x
    x = 2,393,935,377.61/76,915.37
  6. Step 6: Final answer
    x = 31,124.28

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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.