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Finding the Fourth Proportional to 61,164.63, 91,709.22 and 21,174.32

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Solution

The fourth proportional to 61,164.63, 91,709.22 and 21,174.32 is: 31,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,164.63 : 91,709.22 = 21,174.32 : x
  2. Step 2: Convert to fraction form
    61,164.63/91,709.22 = 21,174.32/x
  3. Step 3: Cross multiply
    61,164.63x = 91,709.22 × 21,174.32
  4. Step 4: Simplify right side
    61,164.63x = 1,941,879,912.68
  5. Step 5: Solve for x
    x = 1,941,879,912.68/61,164.63
  6. Step 6: Final answer
    x = 31,748.41

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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.