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Finding the Fourth Proportional to 40,170, 55,429.76 and 22,265.28

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Solution

The fourth proportional to 40,170, 55,429.76 and 22,265.28 is: 30,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,170 : 55,429.76 = 22,265.28 : x
  2. Step 2: Convert to fraction form
    40,170/55,429.76 = 22,265.28/x
  3. Step 3: Cross multiply
    40,170x = 55,429.76 × 22,265.28
  4. Step 4: Simplify right side
    40,170x = 1,234,159,126.73
  5. Step 5: Solve for x
    x = 1,234,159,126.73/40,170
  6. Step 6: Final answer
    x = 30,723.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.