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Finding the Fourth Proportional to 40,221.44, 55,505.16 and 22,316

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Solution

The fourth proportional to 40,221.44, 55,505.16 and 22,316 is: 30,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221.44 : 55,505.16 = 22,316 : x
  2. Step 2: Convert to fraction form
    40,221.44/55,505.16 = 22,316/x
  3. Step 3: Cross multiply
    40,221.44x = 55,505.16 × 22,316
  4. Step 4: Simplify right side
    40,221.44x = 1,238,653,150.56
  5. Step 5: Solve for x
    x = 1,238,653,150.56/40,221.44
  6. Step 6: Final answer
    x = 30,795.84

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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.