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Finding the Fourth Proportional to 40,057, 55,277.54 and 22,151.40

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Solution

The fourth proportional to 40,057, 55,277.54 and 22,151.40 is: 30,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057 : 55,277.54 = 22,151.40 : x
  2. Step 2: Convert to fraction form
    40,057/55,277.54 = 22,151.40/x
  3. Step 3: Cross multiply
    40,057x = 55,277.54 × 22,151.40
  4. Step 4: Simplify right side
    40,057x = 1,224,474,899.56
  5. Step 5: Solve for x
    x = 1,224,474,899.56/40,057
  6. Step 6: Final answer
    x = 30,568.31

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1.5x scale

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.