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Finding the Fourth Proportional to 143,099.40, 214,476.30 and 72,942.60

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Solution

The fourth proportional to 143,099.40, 214,476.30 and 72,942.60 is: 109,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,099.40 : 214,476.30 = 72,942.60 : x
  2. Step 2: Convert to fraction form
    143,099.40/214,476.30 = 72,942.60/x
  3. Step 3: Cross multiply
    143,099.40x = 214,476.30 × 72,942.60
  4. Step 4: Simplify right side
    143,099.40x = 15,644,458,960.38
  5. Step 5: Solve for x
    x = 15,644,458,960.38/143,099.40
  6. Step 6: Final answer
    x = 109,325.82

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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.