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Finding the Fourth Proportional to 71,154.45, 106,737.08 and 21,230.64

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Solution

The fourth proportional to 71,154.45, 106,737.08 and 21,230.64 is: 31,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,154.45 : 106,737.08 = 21,230.64 : x
  2. Step 2: Convert to fraction form
    71,154.45/106,737.08 = 21,230.64/x
  3. Step 3: Cross multiply
    71,154.45x = 106,737.08 × 21,230.64
  4. Step 4: Simplify right side
    71,154.45x = 2,266,096,413.98
  5. Step 5: Solve for x
    x = 2,266,096,413.98/71,154.45
  6. Step 6: Final answer
    x = 31,847.57

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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.