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Finding the Fourth Proportional to 81,276, 112,157.76 and 45,469.32

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Solution

The fourth proportional to 81,276, 112,157.76 and 45,469.32 is: 62,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,276 : 112,157.76 = 45,469.32 : x
  2. Step 2: Convert to fraction form
    81,276/112,157.76 = 45,469.32/x
  3. Step 3: Cross multiply
    81,276x = 112,157.76 × 45,469.32
  4. Step 4: Simplify right side
    81,276x = 5,099,737,079.92
  5. Step 5: Solve for x
    x = 5,099,737,079.92/81,276
  6. Step 6: Final answer
    x = 62,745.92

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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.