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Finding the Fourth Proportional to 71,090.56, 106,628.78 and 18,500.05

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Solution

The fourth proportional to 71,090.56, 106,628.78 and 18,500.05 is: 27,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,090.56 : 106,628.78 = 18,500.05 : x
  2. Step 2: Convert to fraction form
    71,090.56/106,628.78 = 18,500.05/x
  3. Step 3: Cross multiply
    71,090.56x = 106,628.78 × 18,500.05
  4. Step 4: Simplify right side
    71,090.56x = 1,972,637,289.16
  5. Step 5: Solve for x
    x = 1,972,637,289.16/71,090.56
  6. Step 6: Final answer
    x = 27,748.23

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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.