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Finding the Fourth Proportional to 71,145.64, 106,714.61 and 36,084.38

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Solution

The fourth proportional to 71,145.64, 106,714.61 and 36,084.38 is: 54,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.64 : 106,714.61 = 36,084.38 : x
  2. Step 2: Convert to fraction form
    71,145.64/106,714.61 = 36,084.38/x
  3. Step 3: Cross multiply
    71,145.64x = 106,714.61 × 36,084.38
  4. Step 4: Simplify right side
    71,145.64x = 3,850,730,358.37
  5. Step 5: Solve for x
    x = 3,850,730,358.37/71,145.64
  6. Step 6: Final answer
    x = 54,124.62

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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.