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Finding the Fourth Proportional to 71,008, 106,513.92 and 21,760

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Solution

The fourth proportional to 71,008, 106,513.92 and 21,760 is: 32,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008 : 106,513.92 = 21,760 : x
  2. Step 2: Convert to fraction form
    71,008/106,513.92 = 21,760/x
  3. Step 3: Cross multiply
    71,008x = 106,513.92 × 21,760
  4. Step 4: Simplify right side
    71,008x = 2,317,742,899.20
  5. Step 5: Solve for x
    x = 2,317,742,899.20/71,008
  6. Step 6: Final answer
    x = 32,640.59

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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.