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Finding the Fourth Proportional to 46,142.44, 69,223.90 and 21,505

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Solution

The fourth proportional to 46,142.44, 69,223.90 and 21,505 is: 32,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142.44 : 69,223.90 = 21,505 : x
  2. Step 2: Convert to fraction form
    46,142.44/69,223.90 = 21,505/x
  3. Step 3: Cross multiply
    46,142.44x = 69,223.90 × 21,505
  4. Step 4: Simplify right side
    46,142.44x = 1,488,659,969.50
  5. Step 5: Solve for x
    x = 1,488,659,969.50/46,142.44
  6. Step 6: Final answer
    x = 32,262.27

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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.