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Finding the Fourth Proportional to 71,270.76, 106,902.06 and 18,680.22

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Solution

The fourth proportional to 71,270.76, 106,902.06 and 18,680.22 is: 28,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270.76 : 106,902.06 = 18,680.22 : x
  2. Step 2: Convert to fraction form
    71,270.76/106,902.06 = 18,680.22/x
  3. Step 3: Cross multiply
    71,270.76x = 106,902.06 × 18,680.22
  4. Step 4: Simplify right side
    71,270.76x = 1,996,953,999.25
  5. Step 5: Solve for x
    x = 1,996,953,999.25/71,270.76
  6. Step 6: Final answer
    x = 28,019.26

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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.