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Finding the Fourth Proportional to 76,541.50, 105,590.46 and 49,692.43

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Solution

The fourth proportional to 76,541.50, 105,590.46 and 49,692.43 is: 68,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,541.50 : 105,590.46 = 49,692.43 : x
  2. Step 2: Convert to fraction form
    76,541.50/105,590.46 = 49,692.43/x
  3. Step 3: Cross multiply
    76,541.50x = 105,590.46 × 49,692.43
  4. Step 4: Simplify right side
    76,541.50x = 5,247,046,542.22
  5. Step 5: Solve for x
    x = 5,247,046,542.22/76,541.50
  6. Step 6: Final answer
    x = 68,551.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.