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Finding the Fourth Proportional to 81,774, 112,850.55 and 48,240

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Solution

The fourth proportional to 81,774, 112,850.55 and 48,240 is: 66,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774 : 112,850.55 = 48,240 : x
  2. Step 2: Convert to fraction form
    81,774/112,850.55 = 48,240/x
  3. Step 3: Cross multiply
    81,774x = 112,850.55 × 48,240
  4. Step 4: Simplify right side
    81,774x = 5,443,910,532
  5. Step 5: Solve for x
    x = 5,443,910,532/81,774
  6. Step 6: Final answer
    x = 66,572.63

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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.