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Finding the Fourth Proportional to 71,156.40, 106,718.87 and 20,544.43

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Solution

The fourth proportional to 71,156.40, 106,718.87 and 20,544.43 is: 30,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.40 : 106,718.87 = 20,544.43 : x
  2. Step 2: Convert to fraction form
    71,156.40/106,718.87 = 20,544.43/x
  3. Step 3: Cross multiply
    71,156.40x = 106,718.87 × 20,544.43
  4. Step 4: Simplify right side
    71,156.40x = 2,192,478,539.15
  5. Step 5: Solve for x
    x = 2,192,478,539.15/71,156.40
  6. Step 6: Final answer
    x = 30,812.11

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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.