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Finding the Fourth Proportional to 81,616.32, 112,631.28 and 53,322

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Solution

The fourth proportional to 81,616.32, 112,631.28 and 53,322 is: 73,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,616.32 : 112,631.28 = 53,322 : x
  2. Step 2: Convert to fraction form
    81,616.32/112,631.28 = 53,322/x
  3. Step 3: Cross multiply
    81,616.32x = 112,631.28 × 53,322
  4. Step 4: Simplify right side
    81,616.32x = 6,005,725,112.16
  5. Step 5: Solve for x
    x = 6,005,725,112.16/81,616.32
  6. Step 6: Final answer
    x = 73,584.86

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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.