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Finding the Fourth Proportional to 71,661.63, 107,492.69 and 21,742.14

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Solution

The fourth proportional to 71,661.63, 107,492.69 and 21,742.14 is: 32,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.63 : 107,492.69 = 21,742.14 : x
  2. Step 2: Convert to fraction form
    71,661.63/107,492.69 = 21,742.14/x
  3. Step 3: Cross multiply
    71,661.63x = 107,492.69 × 21,742.14
  4. Step 4: Simplify right side
    71,661.63x = 2,337,121,114.96
  5. Step 5: Solve for x
    x = 2,337,121,114.96/71,661.63
  6. Step 6: Final answer
    x = 32,613.28

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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.