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Finding the Fourth Proportional to 109,685.98, 151,366.74 and 61,942.42

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Solution

The fourth proportional to 109,685.98, 151,366.74 and 61,942.42 is: 85,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,685.98 : 151,366.74 = 61,942.42 : x
  2. Step 2: Convert to fraction form
    109,685.98/151,366.74 = 61,942.42/x
  3. Step 3: Cross multiply
    109,685.98x = 151,366.74 × 61,942.42
  4. Step 4: Simplify right side
    109,685.98x = 9,376,022,183.11
  5. Step 5: Solve for x
    x = 9,376,022,183.11/109,685.98
  6. Step 6: Final answer
    x = 85,480.59

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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.