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Finding the Fourth Proportional to 76,542, 114,813 and 29,794.88

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Solution

The fourth proportional to 76,542, 114,813 and 29,794.88 is: 44,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542 : 114,813 = 29,794.88 : x
  2. Step 2: Convert to fraction form
    76,542/114,813 = 29,794.88/x
  3. Step 3: Cross multiply
    76,542x = 114,813 × 29,794.88
  4. Step 4: Simplify right side
    76,542x = 3,420,838,983.38
  5. Step 5: Solve for x
    x = 3,420,838,983.38/76,542
  6. Step 6: Final answer
    x = 44,692.31

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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.