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Finding the Fourth Proportional to 143,135.94, 214,711.74 and 43,293.72

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Solution

The fourth proportional to 143,135.94, 214,711.74 and 43,293.72 is: 64,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.94 : 214,711.74 = 43,293.72 : x
  2. Step 2: Convert to fraction form
    143,135.94/214,711.74 = 43,293.72/x
  3. Step 3: Cross multiply
    143,135.94x = 214,711.74 × 43,293.72
  4. Step 4: Simplify right side
    143,135.94x = 9,295,669,952.27
  5. Step 5: Solve for x
    x = 9,295,669,952.27/143,135.94
  6. Step 6: Final answer
    x = 64,942.95

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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.