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Finding the Fourth Proportional to 78,091.72, 107,738.58 and 44,538.28

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Solution

The fourth proportional to 78,091.72, 107,738.58 and 44,538.28 is: 61,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,091.72 : 107,738.58 = 44,538.28 : x
  2. Step 2: Convert to fraction form
    78,091.72/107,738.58 = 44,538.28/x
  3. Step 3: Cross multiply
    78,091.72x = 107,738.58 × 44,538.28
  4. Step 4: Simplify right side
    78,091.72x = 4,798,491,042.84
  5. Step 5: Solve for x
    x = 4,798,491,042.84/78,091.72
  6. Step 6: Final answer
    x = 61,446.86

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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.