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Finding the Fourth Proportional to 81,092.95, 111,960.93 and 72,580.32

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Solution

The fourth proportional to 81,092.95, 111,960.93 and 72,580.32 is: 100,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092.95 : 111,960.93 = 72,580.32 : x
  2. Step 2: Convert to fraction form
    81,092.95/111,960.93 = 72,580.32/x
  3. Step 3: Cross multiply
    81,092.95x = 111,960.93 × 72,580.32
  4. Step 4: Simplify right side
    81,092.95x = 8,126,160,126.90
  5. Step 5: Solve for x
    x = 8,126,160,126.90/81,092.95
  6. Step 6: Final answer
    x = 100,207.97

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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.