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Finding the Fourth Proportional to 47,713.70, 71,606.10 and 18,189.20

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Solution

The fourth proportional to 47,713.70, 71,606.10 and 18,189.20 is: 27,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.70 : 71,606.10 = 18,189.20 : x
  2. Step 2: Convert to fraction form
    47,713.70/71,606.10 = 18,189.20/x
  3. Step 3: Cross multiply
    47,713.70x = 71,606.10 × 18,189.20
  4. Step 4: Simplify right side
    47,713.70x = 1,302,457,674.12
  5. Step 5: Solve for x
    x = 1,302,457,674.12/47,713.70
  6. Step 6: Final answer
    x = 27,297.35

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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.