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Finding the Fourth Proportional to 76,995, 115,492.50 and 18,627

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Solution

The fourth proportional to 76,995, 115,492.50 and 18,627 is: 27,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,995 : 115,492.50 = 18,627 : x
  2. Step 2: Convert to fraction form
    76,995/115,492.50 = 18,627/x
  3. Step 3: Cross multiply
    76,995x = 115,492.50 × 18,627
  4. Step 4: Simplify right side
    76,995x = 2,151,278,797.50
  5. Step 5: Solve for x
    x = 2,151,278,797.50/76,995
  6. Step 6: Final answer
    x = 27,940.50

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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.