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Finding the Fourth Proportional to 77,004, 115,506 and 27,756

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Solution

The fourth proportional to 77,004, 115,506 and 27,756 is: 41,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004 : 115,506 = 27,756 : x
  2. Step 2: Convert to fraction form
    77,004/115,506 = 27,756/x
  3. Step 3: Cross multiply
    77,004x = 115,506 × 27,756
  4. Step 4: Simplify right side
    77,004x = 3,205,984,536
  5. Step 5: Solve for x
    x = 3,205,984,536/77,004
  6. Step 6: Final answer
    x = 41,634

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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.