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Finding the Fourth Proportional to 52,643.07, 78,942.12 and 30,471.75

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Solution

The fourth proportional to 52,643.07, 78,942.12 and 30,471.75 is: 45,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.07 : 78,942.12 = 30,471.75 : x
  2. Step 2: Convert to fraction form
    52,643.07/78,942.12 = 30,471.75/x
  3. Step 3: Cross multiply
    52,643.07x = 78,942.12 × 30,471.75
  4. Step 4: Simplify right side
    52,643.07x = 2,405,504,545.11
  5. Step 5: Solve for x
    x = 2,405,504,545.11/52,643.07
  6. Step 6: Final answer
    x = 45,694.61

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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.