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Finding the Fourth Proportional to 143,505.84, 215,258.84 and 49,946

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Solution

The fourth proportional to 143,505.84, 215,258.84 and 49,946 is: 74,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,505.84 : 215,258.84 = 49,946 : x
  2. Step 2: Convert to fraction form
    143,505.84/215,258.84 = 49,946/x
  3. Step 3: Cross multiply
    143,505.84x = 215,258.84 × 49,946
  4. Step 4: Simplify right side
    143,505.84x = 10,751,318,022.64
  5. Step 5: Solve for x
    x = 10,751,318,022.64/143,505.84
  6. Step 6: Final answer
    x = 74,919.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.