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Finding the Fourth Proportional to 61,728.80, 85,185.74 and 33,434.49

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Solution

The fourth proportional to 61,728.80, 85,185.74 and 33,434.49 is: 46,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728.80 : 85,185.74 = 33,434.49 : x
  2. Step 2: Convert to fraction form
    61,728.80/85,185.74 = 33,434.49/x
  3. Step 3: Cross multiply
    61,728.80x = 85,185.74 × 33,434.49
  4. Step 4: Simplify right side
    61,728.80x = 2,848,141,605.00
  5. Step 5: Solve for x
    x = 2,848,141,605.00/61,728.80
  6. Step 6: Final answer
    x = 46,139.60

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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.