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Finding the Fourth Proportional to 85,352.82, 117,769.31 and 49,047.26

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Solution

The fourth proportional to 85,352.82, 117,769.31 and 49,047.26 is: 67,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.82 : 117,769.31 = 49,047.26 : x
  2. Step 2: Convert to fraction form
    85,352.82/117,769.31 = 49,047.26/x
  3. Step 3: Cross multiply
    85,352.82x = 117,769.31 × 49,047.26
  4. Step 4: Simplify right side
    85,352.82x = 5,776,261,133.51
  5. Step 5: Solve for x
    x = 5,776,261,133.51/85,352.82
  6. Step 6: Final answer
    x = 67,675.11

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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.