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Finding the Fourth Proportional to 76,915.49, 115,424.72 and 26,995.82

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Solution

The fourth proportional to 76,915.49, 115,424.72 and 26,995.82 is: 40,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,915.49 : 115,424.72 = 26,995.82 : x
  2. Step 2: Convert to fraction form
    76,915.49/115,424.72 = 26,995.82/x
  3. Step 3: Cross multiply
    76,915.49x = 115,424.72 × 26,995.82
  4. Step 4: Simplify right side
    76,915.49x = 3,115,984,964.67
  5. Step 5: Solve for x
    x = 3,115,984,964.67/76,915.49
  6. Step 6: Final answer
    x = 40,511.80

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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.