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Finding the Fourth Proportional to 89,692.79, 123,781.73 and 49,406.58

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Solution

The fourth proportional to 89,692.79, 123,781.73 and 49,406.58 is: 68,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,692.79 : 123,781.73 = 49,406.58 : x
  2. Step 2: Convert to fraction form
    89,692.79/123,781.73 = 49,406.58/x
  3. Step 3: Cross multiply
    89,692.79x = 123,781.73 × 49,406.58
  4. Step 4: Simplify right side
    89,692.79x = 6,115,631,698.75
  5. Step 5: Solve for x
    x = 6,115,631,698.75/89,692.79
  6. Step 6: Final answer
    x = 68,184.21

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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.