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Finding the Fourth Proportional to 52,348.87, 78,477.94 and 21,163.87

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Solution

The fourth proportional to 52,348.87, 78,477.94 and 21,163.87 is: 31,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348.87 : 78,477.94 = 21,163.87 : x
  2. Step 2: Convert to fraction form
    52,348.87/78,477.94 = 21,163.87/x
  3. Step 3: Cross multiply
    52,348.87x = 78,477.94 × 21,163.87
  4. Step 4: Simplify right side
    52,348.87x = 1,660,896,920.03
  5. Step 5: Solve for x
    x = 1,660,896,920.03/52,348.87
  6. Step 6: Final answer
    x = 31,727.46

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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.