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Finding the Fourth Proportional to 72,776, 109,163.98 and 20,185.49

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Solution

The fourth proportional to 72,776, 109,163.98 and 20,185.49 is: 30,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776 : 109,163.98 = 20,185.49 : x
  2. Step 2: Convert to fraction form
    72,776/109,163.98 = 20,185.49/x
  3. Step 3: Cross multiply
    72,776x = 109,163.98 × 20,185.49
  4. Step 4: Simplify right side
    72,776x = 2,203,528,426.65
  5. Step 5: Solve for x
    x = 2,203,528,426.65/72,776
  6. Step 6: Final answer
    x = 30,278.23

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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.