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Finding the Fourth Proportional to 85,443.52, 117,055.66 and 82,248.96

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Solution

The fourth proportional to 85,443.52, 117,055.66 and 82,248.96 is: 112,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443.52 : 117,055.66 = 82,248.96 : x
  2. Step 2: Convert to fraction form
    85,443.52/117,055.66 = 82,248.96/x
  3. Step 3: Cross multiply
    85,443.52x = 117,055.66 × 82,248.96
  4. Step 4: Simplify right side
    85,443.52x = 9,627,706,297.11
  5. Step 5: Solve for x
    x = 9,627,706,297.11/85,443.52
  6. Step 6: Final answer
    x = 112,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.