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Finding the Fourth Proportional to 71,661.38, 107,492.31 and 21,741.89

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Solution

The fourth proportional to 71,661.38, 107,492.31 and 21,741.89 is: 32,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.38 : 107,492.31 = 21,741.89 : x
  2. Step 2: Convert to fraction form
    71,661.38/107,492.31 = 21,741.89/x
  3. Step 3: Cross multiply
    71,661.38x = 107,492.31 × 21,741.89
  4. Step 4: Simplify right side
    71,661.38x = 2,337,085,442.40
  5. Step 5: Solve for x
    x = 2,337,085,442.40/71,661.38
  6. Step 6: Final answer
    x = 32,612.90

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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.