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Finding the Fourth Proportional to 135,061, 202,522.30 and 71,917

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Solution

The fourth proportional to 135,061, 202,522.30 and 71,917 is: 107,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,061 : 202,522.30 = 71,917 : x
  2. Step 2: Convert to fraction form
    135,061/202,522.30 = 71,917/x
  3. Step 3: Cross multiply
    135,061x = 202,522.30 × 71,917
  4. Step 4: Simplify right side
    135,061x = 14,564,796,249.10
  5. Step 5: Solve for x
    x = 14,564,796,249.10/135,061
  6. Step 6: Final answer
    x = 107,838.65

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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.