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Finding the Fourth Proportional to 85,692.66, 118,241.78 and 53,839

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Solution

The fourth proportional to 85,692.66, 118,241.78 and 53,839 is: 74,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692.66 : 118,241.78 = 53,839 : x
  2. Step 2: Convert to fraction form
    85,692.66/118,241.78 = 53,839/x
  3. Step 3: Cross multiply
    85,692.66x = 118,241.78 × 53,839
  4. Step 4: Simplify right side
    85,692.66x = 6,366,019,328.02
  5. Step 5: Solve for x
    x = 6,366,019,328.02/85,692.66
  6. Step 6: Final answer
    x = 74,288.97

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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.