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Finding the Fourth Proportional to 36,443, 54,662.72 and 10,147.16

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Solution

The fourth proportional to 36,443, 54,662.72 and 10,147.16 is: 15,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,443 : 54,662.72 = 10,147.16 : x
  2. Step 2: Convert to fraction form
    36,443/54,662.72 = 10,147.16/x
  3. Step 3: Cross multiply
    36,443x = 54,662.72 × 10,147.16
  4. Step 4: Simplify right side
    36,443x = 554,671,365.88
  5. Step 5: Solve for x
    x = 554,671,365.88/36,443
  6. Step 6: Final answer
    x = 15,220.24

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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.