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Finding the Fourth Proportional to 81,534.54, 112,469.86 and 51,271.86

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Solution

The fourth proportional to 81,534.54, 112,469.86 and 51,271.86 is: 70,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.54 : 112,469.86 = 51,271.86 : x
  2. Step 2: Convert to fraction form
    81,534.54/112,469.86 = 51,271.86/x
  3. Step 3: Cross multiply
    81,534.54x = 112,469.86 × 51,271.86
  4. Step 4: Simplify right side
    81,534.54x = 5,766,538,916.14
  5. Step 5: Solve for x
    x = 5,766,538,916.14/81,534.54
  6. Step 6: Final answer
    x = 70,725.11

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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.