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Finding the Fourth Proportional to 77,606, 107,091.24 and 45,767.60

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Solution

The fourth proportional to 77,606, 107,091.24 and 45,767.60 is: 63,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606 : 107,091.24 = 45,767.60 : x
  2. Step 2: Convert to fraction form
    77,606/107,091.24 = 45,767.60/x
  3. Step 3: Cross multiply
    77,606x = 107,091.24 × 45,767.60
  4. Step 4: Simplify right side
    77,606x = 4,901,309,035.82
  5. Step 5: Solve for x
    x = 4,901,309,035.82/77,606
  6. Step 6: Final answer
    x = 63,156.32

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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.