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Finding the Fourth Proportional to 61,692.12, 85,046 and 40,434.48

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Solution

The fourth proportional to 61,692.12, 85,046 and 40,434.48 is: 55,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692.12 : 85,046 = 40,434.48 : x
  2. Step 2: Convert to fraction form
    61,692.12/85,046 = 40,434.48/x
  3. Step 3: Cross multiply
    61,692.12x = 85,046 × 40,434.48
  4. Step 4: Simplify right side
    61,692.12x = 3,438,790,786.08
  5. Step 5: Solve for x
    x = 3,438,790,786.08/61,692.12
  6. Step 6: Final answer
    x = 55,741.17

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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.