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Finding the Fourth Proportional to 71,208.38, 106,812.80 and 26,823.21

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Solution

The fourth proportional to 71,208.38, 106,812.80 and 26,823.21 is: 40,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.38 : 106,812.80 = 26,823.21 : x
  2. Step 2: Convert to fraction form
    71,208.38/106,812.80 = 26,823.21/x
  3. Step 3: Cross multiply
    71,208.38x = 106,812.80 × 26,823.21
  4. Step 4: Simplify right side
    71,208.38x = 2,865,062,030.97
  5. Step 5: Solve for x
    x = 2,865,062,030.97/71,208.38
  6. Step 6: Final answer
    x = 40,234.90

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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.