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Finding the Fourth Proportional to 81,342.92, 112,219.26 and 53,047.64

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Solution

The fourth proportional to 81,342.92, 112,219.26 and 53,047.64 is: 73,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342.92 : 112,219.26 = 53,047.64 : x
  2. Step 2: Convert to fraction form
    81,342.92/112,219.26 = 53,047.64/x
  3. Step 3: Cross multiply
    81,342.92x = 112,219.26 × 53,047.64
  4. Step 4: Simplify right side
    81,342.92x = 5,952,966,905.55
  5. Step 5: Solve for x
    x = 5,952,966,905.55/81,342.92
  6. Step 6: Final answer
    x = 73,183.59

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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.