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Finding the Fourth Proportional to 81,705.92, 112,749.84 and 45,897.44

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Solution

The fourth proportional to 81,705.92, 112,749.84 and 45,897.44 is: 63,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.92 : 112,749.84 = 45,897.44 : x
  2. Step 2: Convert to fraction form
    81,705.92/112,749.84 = 45,897.44/x
  3. Step 3: Cross multiply
    81,705.92x = 112,749.84 × 45,897.44
  4. Step 4: Simplify right side
    81,705.92x = 5,174,929,016.41
  5. Step 5: Solve for x
    x = 5,174,929,016.41/81,705.92
  6. Step 6: Final answer
    x = 63,336.04

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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.