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Finding the Fourth Proportional to 85,442.83, 117,054.73 and 82,248.28

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Solution

The fourth proportional to 85,442.83, 117,054.73 and 82,248.28 is: 112,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442.83 : 117,054.73 = 82,248.28 : x
  2. Step 2: Convert to fraction form
    85,442.83/117,054.73 = 82,248.28/x
  3. Step 3: Cross multiply
    85,442.83x = 117,054.73 × 82,248.28
  4. Step 4: Simplify right side
    85,442.83x = 9,627,550,208.36
  5. Step 5: Solve for x
    x = 9,627,550,208.36/85,442.83
  6. Step 6: Final answer
    x = 112,678.27

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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.