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Finding the Fourth Proportional to 77,696.56, 107,205.16 and 45,424.96

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Solution

The fourth proportional to 77,696.56, 107,205.16 and 45,424.96 is: 62,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696.56 : 107,205.16 = 45,424.96 : x
  2. Step 2: Convert to fraction form
    77,696.56/107,205.16 = 45,424.96/x
  3. Step 3: Cross multiply
    77,696.56x = 107,205.16 × 45,424.96
  4. Step 4: Simplify right side
    77,696.56x = 4,869,790,104.79
  5. Step 5: Solve for x
    x = 4,869,790,104.79/77,696.56
  6. Step 6: Final answer
    x = 62,677.04

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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.